Split and shard the web CI critical path

[teamleaderleo]

Summary

Break the serial web-typecheck grab bag into independently scheduled checks.

• keep web-typecheck focused on relay-catalog validation + the ~4s TypeScript gate;
• run the Bun test corpus as four --shard matrix workers;
• run instant-navigation Playwright in its own sibling job;
• cache Playwright browser payloads between runs while retaining --with-deps for host libraries;
• keep one reusable-workflow web-status aggregate so required-check semantics stay fail-closed.

On #13431 the old job was 286s: 4s typecheck, 166s web tests, 22s browser install, 77s instant-navigation. This change makes those costs concurrent and shards the largest serial block.

This does not change which diffs select the web area. Routing is handled separately in #13436.

Related: #13095, #13325.

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Summary by cubic

Breaks the serial web-typecheck CI job into parallel lanes so the TypeScript gate, the Bun test corpus, and the Playwright browser checks no longer run back to back. The combined job took 286s on a reference run; sharding the 166s test block across four workers and running the 77s browser lane concurrently brings the web critical path down to roughly the slowest lane.

• web-typecheck keeps only the relay-catalog validation and the ~4s TypeScript gate.
• Bun tests run as four --shard matrix workers; instant-navigation Playwright runs as a sibling job with a Playwright browser cache between runs.
• web-status aggregates all three lanes so required-check semantics stay fail-closed.
• Adds assertions in tests/test_ci_change_areas.py covering the split lanes.

This does not change which diffs select the web area; routing is handled separately in #13436.

^{Written for commit 9754446. Summary will update on new commits.}

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• .github/workflows/ci-web.yml
• tests/test_ci_change_areas.py

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