No. Android 14 requires version 13.x or higher. Installing 8.9.10 will cause boot loops.
While GAM is typically pre-installed on Android devices, users often search for standalone APK versions for specific reasons: google account manager 8 9 10 apk free
Wipe Dalvik / cache (not necessary but safe). follow these general steps:
If you are using this to fix a locked device, follow these general steps: google account manager 8 9 10 apk free