[Time box] Migrate E2E tests to playwright (part 2)

[eugene-manuilov]

Feature Description

Migrate as many E2E tests as possible to Playwright in the allowed time.

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Do not alter or remove anything below. The following sections will be managed by moderators only.

Acceptance criteria

• E2E tests are progressively migrated from Puppeteer to Playwright
• Migrated tests pass in CI via the Playwright runner
• Original Puppeteer specs are removed for each migrated test
• Shared helper utilities are created in Playwright as migration patterns emerge
• Once the time box is reached for this ticket and PR is merged, a follow-up issue is created if further Puppeteer tests remain

Implementation Brief

• Work through each remaining .test.js E2E tests (until 15 hours of execution time is reached) in tests/e2e/specs/, create the Playwright equivalent in the new tests/playwright workspace (added in Setup infrastructure for E2E Migration to Playwright #11912), verify it passes and covers all existing cases, then remove the Puppeteer original:
  • Create files tests/playwright/specs/<path>/<name>.spec.js - rewrite the corresponding test using Playwright APIs and fixtures.
  • Remove files tests/e2e/specs/<path>/<name>.test.js - delete the Puppeteer original once the Playwright spec passes in CI.
  • Extract shared utilities as common patterns repeat across migrations.
  • Do not import anything from tests/e2e in new playwright specs, create a copy in the playwright folder instead.

Test Coverage

• N/A as this issue is testing-related.

QA Brief

• No QA required as this is an infrastructure-only change.

Changelog entry