According to Brave Search (Answer with AI):
You must fund the new address with SOL (approximately $1 worth) to create a new Associated Token Account (ATA) for BAT.
The requirement to fund the wallet is tied to the specific Solana address, not your previous accounts. Since you cannot add a 5th device to an existing Solana account, creating a new wallet address means starting the on-chain setup process from scratch for that new, specific Solana address.