feat: make artifactsDir configurable via browserType.launch() and run-server CLI

[yury-s]

#39279

[pavelfeldman]

why did this change?

[github-actions]

Test results for "tests 1"

2 failed
❌ [webkit-library] › library/download.spec.ts:399 › download event › should save downloads to artifactsDir @webkit-ubuntu-22.04-node20
❌ [playwright-test] › reporter-line.spec.ts:193 › created › should show error context with relative path @macos-latest-node20

11 flaky

⚠️ [chromium-library] › library/browser.spec.ts:24 › should create new page @smoke `@ubuntu-22.04-chromium-tip-of-tree`
⚠️ [chromium-library] › library/browser.spec.ts:24 › should create new page @smoke `@chromium-ubuntu-22.04-arm-node20`
⚠️ [chromium-library] › library/browser.spec.ts:24 › should create new page @smoke `@chromium-ubuntu-22.04-node24`
⚠️ [chromium-library] › library/browser.spec.ts:24 › should create new page @smoke `@chromium-ubuntu-22.04-node20`
⚠️ [chromium-library] › library/browser.spec.ts:24 › should create new page @smoke `@chromium-ubuntu-22.04-node22`
⚠️ [chromium-library] › library/popup.spec.ts:260 › should not throw when click closes popup `@chromium-ubuntu-22.04-node22`
⚠️ [firefox-library] › library/browser.spec.ts:24 › should create new page @smoke `@firefox-ubuntu-22.04-node20`
⚠️ [firefox-page] › page/page-wait-for-function.spec.ts:104 › should work with strict CSP policy `@firefox-ubuntu-22.04-node20`
⚠️ [webkit-library] › library/browser.spec.ts:24 › should create new page @smoke `@webkit-ubuntu-22.04-node20`
⚠️ [webkit-page] › page/page-set-input-files.spec.ts:297 › should detect mime type `@webkit-ubuntu-22.04-node20`
⚠️ [playwright-test] › ui-mode-test-watch.spec.ts:185 › should watch new file `@windows-latest-node20`

38628 passed, 843 skipped

---

Merge workflow run.

[github-actions]

Test results for "MCP"

15 failed
❌ [chrome] › mcp/init-page.spec.ts:21 › --init-page @mcp-windows-latest
❌ [chrome] › mcp/init-page.spec.ts:39 › --init-page w/ --init-script @mcp-windows-latest
❌ [chromium] › mcp/init-page.spec.ts:21 › --init-page @mcp-windows-latest
❌ [chromium] › mcp/init-page.spec.ts:39 › --init-page w/ --init-script @mcp-windows-latest
❌ [chromium] › mcp/roots.spec.ts:47 › check that trace is saved in workspace @mcp-windows-latest
❌ [firefox] › mcp/init-page.spec.ts:21 › --init-page @mcp-windows-latest
❌ [firefox] › mcp/init-page.spec.ts:39 › --init-page w/ --init-script @mcp-windows-latest
❌ [webkit] › mcp/init-page.spec.ts:21 › --init-page @mcp-windows-latest
❌ [webkit] › mcp/init-page.spec.ts:39 › --init-page w/ --init-script @mcp-windows-latest
❌ [msedge] › mcp/init-page.spec.ts:21 › --init-page @mcp-windows-latest
❌ [msedge] › mcp/init-page.spec.ts:39 › --init-page w/ --init-script @mcp-windows-latest
❌ [msedge] › mcp/tracing.spec.ts:21 › check that trace is saved with --save-trace @mcp-windows-latest
❌ [firefox] › mcp/cli-session.spec.ts:21 › list @mcp-macos-15
❌ [firefox] › mcp/http.spec.ts:199 › http transport browser lifecycle (persistent) @mcp-macos-15
❌ [webkit] › mcp/sse.spec.ts:171 › sse transport browser lifecycle (persistent) @mcp-macos-15

5118 passed, 171 skipped

---

Merge workflow run.