Fix stale E2E test commands in Cursor rules

[kingkyylian]

Note

Low Risk
Low risk documentation-only change updating command examples; no runtime code paths are modified.

Overview
Updates .ai/rules/e2e-testing.md to reflect the current Playwright E2E workflow by pointing test execution to tests/e2e-playwright/ and listing npx playwright test project commands, replacing stale root-level npm test examples.

Also updates the code-quality guidance to use the package script npm run type-check (instead of npx tsc --noEmit) alongside npm run lint.

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[valkirilov]

Thanks @kingkyylian 🚀