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.

[github-actions]

Test results for "tests 1"

2 failed
❌ [firefox-page] › page/page-evaluate.spec.ts:424:3 › should throw for too deep reference chain @firefox-ubuntu-22.04-node18
❌ [playwright-test] › runner.spec.ts:118:5 › should ignore subprocess creation error because of SIGINT @macos-latest-node18-1

3 flaky

⚠️ [firefox-library] › library/inspector/cli-codegen-1.spec.ts:986:7 › cli codegen › should not throw csp directive violation errors @firefox-ubuntu-22.04-node18
⚠️ [webkit-library] › library/ignorehttpserrors.spec.ts:30:3 › should isolate contexts @webkit-ubuntu-22.04-node18
⚠️ [playwright-test] › ui-mode-test-watch.spec.ts:145:5 › should watch all @windows-latest-node18-1

39131 passed, 803 skipped
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Merge workflow run.