ci: validate packed package exports

[gooddev97]

Summary

• Add Publint and Are the Types Wrong checks for the built package.
• Run both validators from pack:check after the existing build and npm pack --dry-run checks.
• Document the stronger local and release validation workflow.

Verification

• bun run lint
• bun run typecheck
• bun run test (22 tests pass)
• bun run build
• bun run pack:check
• Publint reports All good!
• Are the Types Wrong reports no problems for node10, node16 (CJS), node16 (ESM), and bundler resolution.

Compatibility

• Platform(s): package tooling on the repository CI/runtime
• React Native version: no runtime behavior change
• Expo version or bare React Native: no runtime behavior change
• Dial Slider/Reanimated/Worklets/Gesture Handler/SVG/Linear Gradient versions: no dependency-range change

Contributor checklist

• No product behavior changed; the existing test suite remains green.
• I updated contributor and release documentation.
• I kept generated lib output out of the commit.
• I did not include secrets, credentials, or private user data.
• No breaking change or migration is required.

[ngocdevv]

Approved after successful automated verification.