[codex] Fix storage change render warning

[binaricat]

Summary

• Defer same-window localStorage change notifications so they no longer fire during React render.
• Coalesce repeated key notifications in the same tick before dispatching.
• Fixes the warning where App state was updated while AIStateProviderInner was rendering.

Validation

• npm run lint -- --max-warnings=0
• npm run build
• npm test
• localStorageAdapter async notification probe