chore(mcp): use page.consoleMessages() API instead of local array

[Yury Semikhatsky (yury-s)]

No description provided.

[github-actions]

Test results for "MCP"

1 failed
❌ [msedge] › mcp/roots.spec.ts:47 › check that trace is saved in workspace @mcp-windows-latest

4791 passed, 135 skipped

---

Merge workflow run.

[github-actions]

Test results for "tests 1"

3 failed
❌ [playwright-test] › reporter.spec.ts:251 › created › should not have internal error when steps are finished after timeout @macos-latest-node20
❌ [playwright-test] › fixture-errors.spec.ts:471 › should not give enough time for second fixture teardown after timeout @windows-latest-node20
❌ [playwright-test] › reporter-html.spec.ts:134 › merged › should not throw when attachment is missing @macos-latest-node20

4 flaky

⚠️ [chromium-library] › library/page-close.spec.ts:162 › should not treat navigations as new popups `@chromium-ubuntu-22.04-arm-node20`
⚠️ [chromium-library] › library/popup.spec.ts:258 › should not throw when click closes popup `@chromium-ubuntu-22.04-node20`
⚠️ [firefox-library] › library/inspector/cli-codegen-1.spec.ts:1082 › cli codegen › should not throw csp directive violation errors `@firefox-ubuntu-22.04-node20`
⚠️ [playwright-test] › ui-mode-test-output.spec.ts:118 › should collapse repeated console messages for test `@macos-latest-node20`

38532 passed, 843 skipped

---

Merge workflow run.