feat(tools): add compact show all tools launcher

[BigSimmo]

Summary

• Add a compact centered 'Show all' button under Clinical calculator on the Tools launcher that opens the full tools page.
• Add focused Playwright coverage for the new control and navigation behavior.

Validation

• npx prettier --check src/components/applications-launcher-page.tsx tests/ui-tools.spec.ts
• npm run typecheck

Notes

• Local .next was rebuilt before push due pre-existing stale type artifacts in .next/dev/types/routes.d.ts.

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📥 Commits

Reviewing files that changed from the base of the PR and between 4b601e3 and e34bc82.

📒 Files selected for processing (8)

• docs/branch-review-records/522436cc75e96c3d5ec24c4ed5206978ed6cc3c4e988daa2a9d1d5165c4a8e2e.record.md
• docs/branch-review-records/771a9eb221c68c8d73f05d8831089a7b6744d11d10a1fee600ca1eac1d0354fe.record.md
• docs/branch-review-records/903f043f143538cff9e2ce0043a9d2fa6822d3be129f8d506cb93ac4bc3960a3.record.md
• docs/branch-review-records/a23d66df28dc33bad16d7d3883fb4129a9971399fe8906bfc771c3543c63b820.record.md
• docs/branch-review-records/b50552bc27edf96d286fcb2c582831863c1893c66a80b3dc38988a8ef6ef5dc0.record.md
• docs/branch-review-records/bef6e7b39ba0aa36284eab8596c7dc491e54c41d2868644d05d96de656d0fe06.record.md
• src/components/applications-launcher-page.tsx
• tests/ui-tools-show-all.spec.ts

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