feat(mcp): add start/stop recording commands

[Yury Semikhatsky (yury-s)]

Summary

• New browser_start_recording / browser_stop_recording MCP tools and recording-start / recording-stop CLI commands that record user actions in the browser and return them as Playwright code.
• Works with launched browsers in headed mode, not only ones attached via the extension.

Fixes#42338

[github-actions]

Test results for "tests 1"

6 flaky

⚠️ [chromium-library] › library/popup.spec.ts:260 › should not throw when click closes popup `@chromium-ubuntu-22.04-arm-node20`
⚠️ [chromium-library] › library/browsercontext-reuse.spec.ts:361 › reuse launch › should work with routeWebSocket `@realtime-time-library-chromium-linux`
⚠️ [chromium-library] › library/video.spec.ts:664 › screencast › should capture full viewport `@realtime-time-library-chromium-linux`
⚠️ [chromium-library] › library/video.spec.ts:699 › screencast › should capture full viewport on hidpi `@chromium-ubuntu-22.04-node24`
⚠️ [firefox-library] › library/trace-viewer.spec.ts:1782 › should open snapshot in new browser context `@firefox-ubuntu-22.04-node20`
⚠️ [firefox-page] › page/page-event-request.spec.ts:181 › should return response body when Cross-Origin-Opener-Policy is set `@firefox-ubuntu-22.04-node20`

51400 passed, 1238 skipped

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Merge workflow run.

[github-actions]

Test results for "MCP"

8259 passed, 1361 skipped

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Merge workflow run.