Logout app after version change pseudo code

example.js

const { version } = require('./package.json');

// ... inside your app startup logic
try {
  const storedVersion = await AsyncStorage.getItem('@MyStore:appVersion');
  if (storedVersion !== version){
    // do logout logic here
    
    // then update the stored version to be the newest version so next
    // restart of app won't trigget this again
    await AsyncStorage.setItem('@MyStore:appVersion', version);
  } else {
    // continue as normal
  }
} catch (error) {
  // Error retrieving data
}

https://facebook.github.io/react-native/docs/asyncstorage.html - for reference

You might not need to logout on every app version - so you could create a different property on your root package.json and just use that (by changing it) to force a logout if that specific build needed it.