Using USDT in TRC20 (Under Tron network) is the best option too, but make sure *DOUBLE CHECK* if Bitrue supported a TRC20 USDT.
I checked it to make sure Bitrue support TRC20 chain for USDT before I wrote
my post. It is safe to apply this tutorial because Binance and Bitrue both support TRC-20 USDT.
The rest thing is check carefull the chain (choose the tab TRC20) on Binance when filling details for withdrawal, check the chain and get the address for TRC20 USDT on Bitrue account. Check the address you will send your USDT to when withdraw USDT TRC20 on Binance.
Sounds like many things to check but it is for safety and in practice, all of checks can be done in one or two minutes.