fix(deps): update dependency @react-native-async-storage/async-storage to v3

[renovate]

This PR contains the following updates:

Package	Change	Age	Confidence
@react-native-async-storage/async-storage (source)	^2.2.0 → ^3.1.1

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Warning

Some dependencies could not be looked up. Check the Dependency Dashboard for more information.

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Release Notes

react-native-async-storage/async-storage (@​react-native-async-storage/async-storage)

v3.1.1

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Patch Changes

• b751ff4: bump native dependencies for sqlite and room

v3.1.0

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Minor Changes

• fa6d5bc: Shared Storage artifact published to maven central

  This eliminates the extra step in installation for android.

v3.0.3

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Patch Changes

• 350e149: - Correctly handle "other" error for Apple platforms
  • Android to use limited parallelism from DispatcherIO, instead of using dedicated thread pools per database
  • When providing null for a key, for some reason, throw an error instead of crashing the app
  • Make example RN example work again
  • Use concurrent hashmap instead of hashmap + synchronization combo for Storage initialization on Android
  • Double check lock for legacy storage initialization on android

v3.0.2

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Patch Changes

• 1d1867f: include jest mock

v3.0.1

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Patch Changes

• 7b64ea4: missing build step from CI added

v3.0.0

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Major Changes

• f100276: Initial release of upcoming version v3.
  Please visit Async Storage docs to learn more

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The artifact failure details are included below:

File name: formulus/package-lock.json

npm warn Unknown env config "store". This will error in a future major version of npm. See `npm help npmrc` for supported config options.
npm warn Unknown project config "node-linker". This will stop working in the next major version of npm. See `npm help npmrc` for supported config options.
npm error code ERESOLVE
npm error ERESOLVE unable to resolve dependency tree
npm error
npm error While resolving: formulus-app@1.4.0
npm error Found: react-native-nitro-modules@0.35.10
npm error node_modules/react-native-nitro-modules
npm error   react-native-nitro-modules@"^0.35.10" from the root project
npm error
npm error Could not resolve dependency:
npm error peer react-native-nitro-modules@">=0.36.5" from react-native-nitro-sound@0.2.20
npm error node_modules/react-native-nitro-sound
npm error   react-native-nitro-sound@"^0.2.19" from the root project
npm error
npm error Fix the upstream dependency conflict, or retry this command with --force or --legacy-peer-deps to accept an incorrect (and potentially broken) dependency resolution.
npm error
npm error
npm error For a full report see:
npm error /runner/cache/others/npm/_logs/2026-10-05T21_13_51_602Z-eresolve-report.txt
npm error A complete log of this run can be found in: /runner/cache/others/npm/_logs/2026-10-05T21_13_51_602Z-debug-0.log