[18/44] Enable TS strict mode in global-store

Description

Part of the strict-mode rollout epic #35932. Enable TypeScript strict mode for the global-store project.

• Dependency layer: 3 · Internal dependents: 12 · Rollout order: 18 / 44

Note: the original acceptance criteria referenced typescript-strict-plugin, npx tsc-strict, and // @ts-strict-ignore. That approach was dropped by the epic — the plugin was never installed. The ACs below reflect the approach in force, documented in core-web/CLAUDE.md → TypeScript Strict Mode.

Acceptance Criteria

• The six strict flags are present in the project's own tsconfig.json:
  forceConsistentCasingInFileNames, strict, noImplicitOverride, noPropertyAccessFromIndexSignature, noImplicitReturns, noFallthroughCasesInSwitch.
• tsc -p <projectRoot>/tsconfig.lib.json --noEmit reports 0 errors.
• tsc -p <projectRoot>/tsconfig.spec.json --noEmit reports 0 errors.
• All errors resolved with explicit types — no new any.
• nx run <project>:lint and :test pass.
• nx affected -t build,lint does not break dependents.
• The enforcement status is recorded — i.e. whether any CI gate actually verifies the strictness.

⚠️ Two things that make error counts untrustworthy here, both established earlier in this rollout:

• :test does not type-check. isolatedModules: true puts ts-jest in transpile-only mode (#35948), so passing tests say nothing about types. tsc -p is the acceptance test.
• A files entry pointing at a missing file (TS6053, #35947) or an uninstalled types entry (TS2688, #35944) aborts tsc before semantic checking. Confirm the compiler reached the code.

Priority

Medium

Additional Context

One project in the bottom-up rollout tracked by epic #35932.

Read core-web/CLAUDE.md under “TypeScript Strict Mode” and locate the global-store project’s own tsconfig.json, tsconfig.lib.json, and tsconfig.spec.json. Run both no-emit tsc commands first, confirming the compiler reaches semantic checking, then resolve errors without new any. Verify lint, tests, affected build/lint, and record whether CI enforces strictness.