feat(codegen): add user-data-dir option

[agg23]

Introduces codegen --user-data-dir option to allow specification of an existing browser profile directory to use during codegen.

Resolves #35617.

[agg23]

@microsoft-github-policy-service rerun

[github-actions]

Test results for "tests 1"

1 failed
❌ [chromium-library] › library/chromium/tracing.spec.ts:49:3 › should run with custom categories if provided @chromium-ubuntu-22.04-node20

8 flaky

⚠️ [chromium-library] › library/chromium/tracing.spec.ts:49:3 › should run with custom categories if provided @chromium-ubuntu-22.04-node18
⚠️ [chromium-library] › library/role-utils.spec.ts:442:5 › svg role=presentation @chromium-ubuntu-22.04-node22
⚠️ [chromium-library] › library/chromium/oopif.spec.ts:284:3 › should click @chromium-ubuntu-22.04-node24
⚠️ [firefox-library] › library/inspector/cli-codegen-1.spec.ts:1087:7 › cli codegen record › should not throw csp directive violation errors @firefox-ubuntu-22.04-node18
⚠️ [firefox-page] › page/page-wait-for-function.spec.ts:104:3 › should work with strict CSP policy @firefox-ubuntu-22.04-node18
⚠️ [playwright-test] › ui-mode-trace.spec.ts:587:5 › should indicate current test status @macos-latest-node18-1
⚠️ [webkit-page] › page/page-screenshot.spec.ts:345:5 › page screenshot › should work while navigating @webkit-ubuntu-22.04-node18
⚠️ [playwright-test] › ui-mode-test-watch.spec.ts:145:5 › should watch all @windows-latest-node18-1

47077 passed, 980 skipped
✔️✔️✔️

Merge workflow run.