As part of upgrading to React Native 0.72, react-native-upgrade-helper prompts us to update ESLint to 8.
To separate this work out into its own independently-landable stack, I decided to make the ESLint update BEFORE making the React Native update.
For whatever reason, the React Native update does not have us update to Prettier 3. However, in my local environment I was able to make that update without any issues. As such, I decided to include it here as well.
Depends on D10537