chore(docs): bump playwright and @playwright/test in /web-app (#775)

Bumps [playwright](https://github.com/microsoft/playwright) and [@playwright/test](https://github.com/microsoft/playwright). These dependencies needed to be updated together.

Updates `playwright` from 1.50.1 to 1.56.1
- [Release notes](https://github.com/microsoft/playwright/releases)
- [Commits](microsoft/playwright@v1.50.1...v1.56.1)

Updates `@playwright/test` from 1.50.1 to 1.56.1
- [Release notes](https://github.com/microsoft/playwright/releases)
- [Commits](microsoft/playwright@v1.50.1...v1.56.1)

---
updated-dependencies:
- dependency-name: playwright
  dependency-version: 1.56.1
  dependency-type: direct:development
- dependency-name: "@playwright/test"
  dependency-version: 1.56.1
  dependency-type: direct:development
...

Signed-off-by: dependabot[bot] <[email protected]>
Co-authored-by: dependabot[bot] <49699333+dependabot[bot]@users.noreply.github.com>
Signed-off-by: Elizabeth Healy <[email protected]>

Author: dependabot[bot]

web-app/package-lock.json

@@ -27,7 +27,7 @@
   "devDependencies": {
     "@eslint/eslintrc": "^3.3.0",
     "@eslint/js": "^9.21.0",
-    "@playwright/test": "^1.50.1",
+    "@playwright/test": "^1.56.1",
     "@rollup/plugin-inject": "^5.0.5",
     "@types/react": "^19.0.10",
     "@types/react-dom": "^19.0.4",
@@ -41,7 +41,7 @@
     "eslint-plugin-prettier": "^5.2.3",
     "globals": "^16.0.0",
     "license-checker-rseidelsohn": "^4.4.2",
-    "playwright": "^1.50.1",
+    "playwright": "^1.56.1",
     "prettier": "^3.5.3",
     "typescript": "^5.8.2",
     "typescript-eslint": "^8.26.0",