docs(auth): fix function name shadowing

[DoctorJohn]

Description

This PR fixes that the onAuthStateChanged function name was shadowed in one of the authentication examples.

Related issues

• Starting with docs(auth): update examples to use modular API #8327, the callback's name conflicts with the onAuthStateChanged function's name when imported from the modular API. Previously, that was not an issue because the function was used via auth.onAuthStateChanged, which avoided the naming conflict.

Checklist

• I read the Contributor Guide and followed the process outlined there for submitting PRs.
  • Yes
• My change supports the following platforms;
  • Android
  • iOS
  • Other (macOS, web)
• My change includes tests;
  • e2e tests added or updated in packages/\*\*/e2e
  • jest tests added or updated in packages/\*\*/__tests__
• I have updated TypeScript types that are affected by my change.
• This is a breaking change;
  • Yes
  • No

Test Plan

• I double checked that this was the only example where I forgot to rename the callback to avoid naming conflicts
• I'll triple-check once the docs preview gets posted by the bot :)

🔥

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Name	Status	Preview	Comments	Updated (UTC)
react-native-firebase	✅ Ready (Inspect)	Visit Preview	💬 Add feedback	May 4, 2025 5:10pm

[mikehardy]

Nice one - I appreciate it @DoctorJohn