Generally need issues in your topic, not just title. But it is what it is.
Brave is where your BAT is stored, so you can pretend they are like your wallet or purse. Uphold/Gemini are like banks, where you deposit the money.
When you deleted Brave, it is like you threw away your wallet/purse that had lots of money in it. Then when you redownloaded Brave, it is like you bought a new wallet/purse.
Obviously, your money that’s in the trash along with your old wallet/purse won’t reappear in your new one. You would have had to take the money out. In the case with Brave, that means doing a backup or depositing into a bank.
If you’ve done complete backups of your Android where you could revert to an older version, maybe. But usually it’s much harder for Android compared to trying to do with Desktop.
That is everything you asked, but I’ll do you a favor and summarize.
Most likely lost forever unless the BAT was in Uphold/Gemini
Honestly, might want to read -Retired- PSA: User FAQ - Support & Answers as I talk about a lot of this in a bit of detail, as far as what BAT is, how it’s stored, etc.
Best way is to be verified with Uphold or Gemini. If you’re in an unsupported region or unable to have accounts with them for any reason, then you’ll need to do regular backups of Brave so you don’t lose it. Losing the device, uninstalling Brave, etc will cause your BAT to go away if unverified and there’s no way to recover it because it’s stored on your device and not online.