chore: keywords, extensionless imports, TS layout, watcher, CI, and pre-commit hooks

[math-krish]

Summary

• Standardizes extensionless relative imports in aws-cdk-local-lambda and the simple-crud example (Bundler-style resolution, consistent with tsup/esbuild).
• Fixes TypeScript project boundaries so package and test files are not typechecked with the root NodeNext config (resolves TS2835 on ./types in tests).
• Improves hot-reloader debouncing (path batch + manifest priority in the same window) and adjusts the manifest watcher test for chokidar timing. Replaces as unknown as in ModuleLoader tests with a proper Handler invocation.
• Adds package keywords in package.json. CI runs on all push / pull_request, includes a dedicated pnpm --filter aws-cdk-local-lambda test step, and hardens Nx base for new branches.
• Pre-commit runs build and tests for the package after nano-staged; Nx gains a test target for the library.

Type of change

• Bug fix (fix:)
• New feature (feat:)
• Refactor (refactor:)
• Documentation (docs:)
• CI / tooling (ci: / chore:)

Checklist

• pnpm build passes locally
• pnpm lint passes (Biome clean — via nano-staged on staged files; root nx run-many --target=lint has no configured lint targets)
• TypeScript compiles without errors (pnpm typecheck — tsc for example + package build path via Nx)
• Tests added or updated (if applicable)

Related issues