feat(vercel-edge): Do not vendor in all OpenTelemetry dependencies (#16841)

Previously, most of the OTEL dependencies have been `devDependencies` of
the vercel-edge package. This PR fixes this by properly defining the
dependencies we have.

NOTE: This was not per se incorrect, just not really necessary - we used
to inline all of these dependencies into the vercel-edge SDK.

Only the `@opentelemetry/sdk-trace-base` dependency remains a
devDependency, which means it is bundled in. Without this, edge routes
somehow fail on next 13 :/

Author: mydea

packages/vercel-edge/package.json

@@ -40,15 +40,15 @@
   },
   "dependencies": {
     "@opentelemetry/api": "^1.9.0",
-    "@sentry/core": "9.36.0"
+    "@opentelemetry/resources": "^1.30.1",
+    "@opentelemetry/semantic-conventions": "^1.34.0",
+    "@sentry/core": "9.36.0",
+    "@sentry/opentelemetry": "9.36.0"
   },
   "devDependencies": {
     "@edge-runtime/types": "3.0.1",
     "@opentelemetry/core": "^1.30.1",
-    "@opentelemetry/resources": "^1.30.1",
-    "@opentelemetry/sdk-trace-base": "^1.30.1",
-    "@opentelemetry/semantic-conventions": "^1.34.0",
-    "@sentry/opentelemetry": "9.36.0"
+    "@opentelemetry/sdk-trace-base": "^1.30.1"
   },
   "scripts": {
     "build": "run-p build:transpile build:types",