test: switch from PWTEST_BOT_NAME to config.tag

[dgozman]

Drive-by: remove packages/web/playwright.config.ts forgotten in #38187.

[github-actions]

Test results for "MCP"

2610 passed, 116 skipped

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Merge workflow run.

[github-actions]

Test results for "tests 1"

1 failed
❌ [playwright-test] › reporter-html.spec.ts:3005 › merged › execSync doesnt produce a second stdout attachment @macos-latest-node18-2

10 flaky

⚠️ [firefox-library] › library/inspector/cli-codegen-1.spec.ts:1079 › cli codegen › should not throw csp directive violation errors `@firefox-ubuntu-22.04-node18`
⚠️ [firefox-page] › page/page-event-request.spec.ts:182 › should return response body when Cross-Origin-Opener-Policy is set `@firefox-ubuntu-22.04-node18`
⚠️ [webkit-library] › library/browsercontext-cookies-third-party.spec.ts:157 › third party non-partitioned cookies `@webkit-ubuntu-22.04-node18`
⚠️ [webkit-library] › library/selector-generator.spec.ts:633 › selector generator › should generate multiple: noId noText `@webkit-ubuntu-22.04-node18`
⚠️ [webkit-library] › library/trace-viewer.spec.ts:265 › should properly synchronize local and remote time `@webkit-ubuntu-22.04-node18`
⚠️ [webkit-page] › page/page-autowaiting-basic.spec.ts:58 › should await form-get on click `@webkit-ubuntu-22.04-node18`
⚠️ [webkit-page] › page/page-history.spec.ts:55 › page.goBack should work for file urls `@webkit-ubuntu-22.04-node18`
⚠️ [webkit-page] › page/page-set-input-files.spec.ts:130 › should upload a file after popup `@webkit-ubuntu-22.04-node18`
⚠️ [webkit-page] › page/page-set-input-files.spec.ts:146 › should upload large file `@webkit-ubuntu-22.04-node18`
⚠️ [playwright-test] › ui-mode-test-progress.spec.ts:165 › should update tracing network live `@windows-latest-node18-2`

40318 passed, 787 skipped

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Merge workflow run.