[ci] Cache playwright in run_devtools_e2e_tests (facebook#34320)

I happened to notice that I forgot to cache playwright in
run_devtools_e2e_tests, so it would try to install it every time which
can randomly take a while to complete (I'm not sure why it's not
deterministic, but the dependencies appear to be installed
inconsistently across multiple workflows).

This PR adds the same cache we use for other steps that use playwright,
which should shave off some time from this workflow when the cache is
warm.

Additionally I omitted the standalone install-deps command as it appears
to be redundant and adds a lot of extra time to CI, due to the fact that
it installs many unrelated dependencies.

---
[//]: # (BEGIN SAPLING FOOTER)
Stack created with [Sapling](https://sapling-scm.com). Best reviewed
with [ReviewStack](https://reviewstack.dev/facebook/react/pull/34320).
* facebook#34321
* __->__ facebook#34320

DiffTrain build for [0a1f1fc](facebook@0a1f1fc)

Author: pull[bot]

compiled-rn/VERSION_NATIVE_FB

@@ -1 +1 @@
-19.2.0-native-fb-8d7b5e49-20250827
+19.2.0-native-fb-0a1f1fcd-20250827

compiled-rn/facebook-fbsource/xplat/js/RKJSModules/vendor/react/react-dom/cjs/ReactDOM-dev.js

@@ -7,7 +7,7 @@
  * @noflow
  * @nolint
  * @preventMunge
- * @generated SignedSource<<2c0185bc29af53faf0204cc229b5c802>>
+ * @generated SignedSource<<d0b6736b5e5836c0574a43883aeec412>>
  */
 
 "use strict";
@@ -404,5 +404,5 @@ __DEV__ &&
     exports.useFormStatus = function () {
       return resolveDispatcher().useHostTransitionStatus();
     };
-    exports.version = "19.2.0-native-fb-8d7b5e49-20250827";
+    exports.version = "19.2.0-native-fb-0a1f1fcd-20250827";
   })();

compiled-rn/facebook-fbsource/xplat/js/RKJSModules/vendor/react/react-dom/cjs/ReactDOM-prod.js

@@ -7,7 +7,7 @@
  * @noflow
  * @nolint
  * @preventMunge
- * @generated SignedSource<<d0661610b79f5a25001829bf91e740b7>>
+ * @generated SignedSource<<26d6662ed76dc41db7b08592bef52131>>
  */
 
 "use strict";
@@ -203,4 +203,4 @@ exports.useFormState = function (action, initialState, permalink) {
 exports.useFormStatus = function () {
   return ReactSharedInternals.H.useHostTransitionStatus();
 };
-exports.version = "19.2.0-native-fb-8d7b5e49-20250827";
+exports.version = "19.2.0-native-fb-0a1f1fcd-20250827";

compiled-rn/facebook-fbsource/xplat/js/RKJSModules/vendor/react/react-dom/cjs/ReactDOM-profiling.js

@@ -7,7 +7,7 @@
  * @noflow
  * @nolint
  * @preventMunge
- * @generated SignedSource<<d0661610b79f5a25001829bf91e740b7>>
+ * @generated SignedSource<<26d6662ed76dc41db7b08592bef52131>>
  */
 
 "use strict";
@@ -203,4 +203,4 @@ exports.useFormState = function (action, initialState, permalink) {
 exports.useFormStatus = function () {
   return ReactSharedInternals.H.useHostTransitionStatus();
 };
-exports.version = "19.2.0-native-fb-8d7b5e49-20250827";
+exports.version = "19.2.0-native-fb-0a1f1fcd-20250827";

compiled-rn/facebook-fbsource/xplat/js/RKJSModules/vendor/react/react-dom/cjs/ReactDOMClient-dev.js

@@ -7,7 +7,7 @@
  * @noflow
  * @nolint
  * @preventMunge
- * @generated SignedSource<<690532ae42ed1cc2c8dfd1d238650f6e>>
+ * @generated SignedSource<<aec1f2eccad4f45fc4bc81a0bd604032>>
  */
 
 /*
@@ -40,9 +40,7 @@ var alwaysThrottleRetries = dynamicFlagsUntyped.alwaysThrottleRetries,
   enablePersistedModeClonedFlag =
     dynamicFlagsUntyped.enablePersistedModeClonedFlag,
   renameElementSymbol = dynamicFlagsUntyped.renameElementSymbol,
-  enableFragmentRefs = dynamicFlagsUntyped.enableFragmentRefs,
-  enableFragmentRefsScrollIntoView =
-    dynamicFlagsUntyped.enableFragmentRefsScrollIntoView;
+  enableFragmentRefs = dynamicFlagsUntyped.enableFragmentRefs;
 function isValidContainer(node) {
   return !(
     !node ||
@@ -192,28 +190,6 @@ function getFragmentParentHostFiber(fiber) {
   }
   return null;
 }
-function findFragmentInstanceSiblings(result, self, child) {
-  for (
-    var foundSelf =
-      3 < arguments.length && void 0 !== arguments[3] ? arguments[3] : !1;
-    null !== child;
-
-  ) {
-    if (child === self)
-      if (((foundSelf = !0), child.sibling)) child = child.sibling;
-      else return !0;
-    if (5 === child.tag) {
-      if (foundSelf) return (result[1] = child), !0;
-      result[0] = child;
-    } else if (
-      (22 !== child.tag || null === child.memoizedState) &&
-      findFragmentInstanceSiblings(result, self, child.child, foundSelf)
-    )
-      return !0;
-    child = child.sibling;
-  }
-  return !1;
-}
 function getInstanceFromHostFiber(fiber) {
   switch (fiber.tag) {
     case 5:
@@ -13016,20 +12992,20 @@ function debounceScrollEnd(targetInst, nativeEvent, nativeEventTarget) {
     (nativeEventTarget[internalScrollTimer] = targetInst));
 }
 for (
-  var i$jscomp$inline_1628 = 0;
-  i$jscomp$inline_1628 < simpleEventPluginEvents.length;
-  i$jscomp$inline_1628++
+  var i$jscomp$inline_1627 = 0;
+  i$jscomp$inline_1627 < simpleEventPluginEvents.length;
+  i$jscomp$inline_1627++
 ) {
-  var eventName$jscomp$inline_1629 =
-      simpleEventPluginEvents[i$jscomp$inline_1628],
-    domEventName$jscomp$inline_1630 =
-      eventName$jscomp$inline_1629.toLowerCase(),
-    capitalizedEvent$jscomp$inline_1631 =
-      eventName$jscomp$inline_1629[0].toUpperCase() +
-      eventName$jscomp$inline_1629.slice(1);
+  var eventName$jscomp$inline_1628 =
+      simpleEventPluginEvents[i$jscomp$inline_1627],
+    domEventName$jscomp$inline_1629 =
+      eventName$jscomp$inline_1628.toLowerCase(),
+    capitalizedEvent$jscomp$inline_1630 =
+      eventName$jscomp$inline_1628[0].toUpperCase() +
+      eventName$jscomp$inline_1628.slice(1);
   registerSimpleEvent(
-    domEventName$jscomp$inline_1630,
-    "on" + capitalizedEvent$jscomp$inline_1631
+    domEventName$jscomp$inline_1629,
+    "on" + capitalizedEvent$jscomp$inline_1630
   );
 }
 registerSimpleEvent(ANIMATION_END, "onAnimationEnd");
@@ -15030,36 +15006,6 @@ function removeEventListenerFromChild(
   );
   return !1;
 }
-function normalizeListenerOptions(opts) {
-  return null == opts
-    ? "0"
-    : "boolean" === typeof opts
-      ? "c=" + (opts ? "1" : "0")
-      : "c=" +
-        (opts.capture ? "1" : "0") +
-        "&o=" +
-        (opts.once ? "1" : "0") +
-        "&p=" +
-        (opts.passive ? "1" : "0");
-}
-function indexOfEventListener(
-  eventListeners,
-  type,
-  listener,
-  optionsOrUseCapture
-) {
-  for (var i = 0; i < eventListeners.length; i++) {
-    var item = eventListeners[i];
-    if (
-      item.type === type &&
-      item.listener === listener &&
-      normalizeListenerOptions(item.optionsOrUseCapture) ===
-        normalizeListenerOptions(optionsOrUseCapture)
-    )
-      return i;
-  }
-  return -1;
-}
 FragmentInstance.prototype.dispatchEvent = function (event) {
   var parentHostFiber = getFragmentParentHostFiber(this._fragmentFiber);
   if (null === parentHostFiber) return !0;
@@ -15390,44 +15336,36 @@ function validateDocumentPositionWithFiberTree(
         fragmentFiber)
       : !1;
 }
-enableFragmentRefsScrollIntoView &&
-  (FragmentInstance.prototype.experimental_scrollIntoView = function (
-    alignToTop
-  ) {
-    if ("object" === typeof alignToTop)
-      throw Error(formatProdErrorMessage(566));
-    var children = [];
-    traverseVisibleHostChildren(
-      this._fragmentFiber.child,
-      !1,
-      collectChildren,
-      children,
-      void 0,
-      void 0
-    );
-    var resolvedAlignToTop = !1 !== alignToTop;
-    if (0 === children.length) {
-      children = this._fragmentFiber;
-      var result = [null, null],
-        parentHostFiber = getFragmentParentHostFiber(children);
-      null !== parentHostFiber &&
-        findFragmentInstanceSiblings(result, children, parentHostFiber.child);
-      resolvedAlignToTop = resolvedAlignToTop
-        ? result[1] ||
-          result[0] ||
-          getFragmentParentHostFiber(this._fragmentFiber)
-        : result[0] || result[1];
-      null !== resolvedAlignToTop &&
-        getInstanceFromHostFiber(resolvedAlignToTop).scrollIntoView(alignToTop);
-    } else
-      for (
-        result = resolvedAlignToTop ? children.length - 1 : 0;
-        result !== (resolvedAlignToTop ? -1 : children.length);
-
-      )
-        getInstanceFromHostFiber(children[result]).scrollIntoView(alignToTop),
-          (result += resolvedAlignToTop ? -1 : 1);
-  });
+function normalizeListenerOptions(opts) {
+  return null == opts
+    ? "0"
+    : "boolean" === typeof opts
+      ? "c=" + (opts ? "1" : "0")
+      : "c=" +
+        (opts.capture ? "1" : "0") +
+        "&o=" +
+        (opts.once ? "1" : "0") +
+        "&p=" +
+        (opts.passive ? "1" : "0");
+}
+function indexOfEventListener(
+  eventListeners,
+  type,
+  listener,
+  optionsOrUseCapture
+) {
+  for (var i = 0; i < eventListeners.length; i++) {
+    var item = eventListeners[i];
+    if (
+      item.type === type &&
+      item.listener === listener &&
+      normalizeListenerOptions(item.optionsOrUseCapture) ===
+        normalizeListenerOptions(optionsOrUseCapture)
+    )
+      return i;
+  }
+  return -1;
+}
 function commitNewChildToFragmentInstance(childInstance, fragmentInstance) {
   var eventListeners = fragmentInstance._eventListeners;
   if (null !== eventListeners)
@@ -17256,16 +17194,16 @@ ReactDOMHydrationRoot.prototype.unstable_scheduleHydration = function (target) {
     0 === i && attemptExplicitHydrationTarget(target);
   }
 };
-var isomorphicReactPackageVersion$jscomp$inline_2034 = React.version;
+var isomorphicReactPackageVersion$jscomp$inline_2023 = React.version;
 if (
-  "19.2.0-native-fb-8d7b5e49-20250827" !==
-  isomorphicReactPackageVersion$jscomp$inline_2034
+  "19.2.0-native-fb-0a1f1fcd-20250827" !==
+  isomorphicReactPackageVersion$jscomp$inline_2023
 )
   throw Error(
     formatProdErrorMessage(
       527,
-      isomorphicReactPackageVersion$jscomp$inline_2034,
-      "19.2.0-native-fb-8d7b5e49-20250827"
+      isomorphicReactPackageVersion$jscomp$inline_2023,
+      "19.2.0-native-fb-0a1f1fcd-20250827"
     )
   );
 ReactDOMSharedInternals.findDOMNode = function (componentOrElement) {
@@ -17285,24 +17223,24 @@ ReactDOMSharedInternals.findDOMNode = function (componentOrElement) {
     null === componentOrElement ? null : componentOrElement.stateNode;
   return componentOrElement;
 };
-var internals$jscomp$inline_2565 = {
+var internals$jscomp$inline_2554 = {
   bundleType: 0,
-  version: "19.2.0-native-fb-8d7b5e49-20250827",
+  version: "19.2.0-native-fb-0a1f1fcd-20250827",
   rendererPackageName: "react-dom",
   currentDispatcherRef: ReactSharedInternals,
-  reconcilerVersion: "19.2.0-native-fb-8d7b5e49-20250827"
+  reconcilerVersion: "19.2.0-native-fb-0a1f1fcd-20250827"
 };
 if ("undefined" !== typeof __REACT_DEVTOOLS_GLOBAL_HOOK__) {
-  var hook$jscomp$inline_2566 = __REACT_DEVTOOLS_GLOBAL_HOOK__;
+  var hook$jscomp$inline_2555 = __REACT_DEVTOOLS_GLOBAL_HOOK__;
   if (
-    !hook$jscomp$inline_2566.isDisabled &&
-    hook$jscomp$inline_2566.supportsFiber
+    !hook$jscomp$inline_2555.isDisabled &&
+    hook$jscomp$inline_2555.supportsFiber
   )
     try {
-      (rendererID = hook$jscomp$inline_2566.inject(
-        internals$jscomp$inline_2565
+      (rendererID = hook$jscomp$inline_2555.inject(
+        internals$jscomp$inline_2554
       )),
-        (injectedHook = hook$jscomp$inline_2566);
+        (injectedHook = hook$jscomp$inline_2555);
     } catch (err) {}
 }
 exports.createRoot = function (container, options) {
@@ -17388,4 +17326,4 @@ exports.hydrateRoot = function (container, initialChildren, options) {
   listenToAllSupportedEvents(container);
   return new ReactDOMHydrationRoot(initialChildren);
 };
-exports.version = "19.2.0-native-fb-8d7b5e49-20250827";
+exports.version = "19.2.0-native-fb-0a1f1fcd-20250827";