I think if Wallet Exchange cannot be recovered. USDT and USDC are actually the same platform, the ERC20 version. But USDT also has an OMNI version. If the same platform can receive all coins, not only USDT and USDC. And can make a withdrawal. The problem is that Wallet Exchange is different, it does not accept the option to withdraw coins other than those specified.

For example, the exchange wallet uses Coinpayment.net as a place to store all coins, for each erc20 version of the coin it will be the same, only withdrawals can be made through the Coinpayment account belonging to the exchange.

I think you can ask the owner of the platform that you used to receive usdc coins.

And you can check whether the platform supports USDC. And check whether the wallet is the same, if it's the same then you will receive USDC even if you send it to USDT.