Binance DEX exchanges usually only support platforms that use BNB, so coins like USDC or USDT are definitely not supported here. I think you should join the centralized exchange to do this because these are often the places where lots of stable coins are gathered and you can keep them if you want.
But there are debates if it's really appropriate to call Binance as a DEX, because they have some kind of restriction from certain countries to access the site, and to me, it's more like a centralized exchange also, reason why Binance DEX has a low volume than expected.