As you can imagine, Circle maintains fairly sophisticated minting operations able to execute around the clock. All that is necessary for coins to be minted is for Circle to broadcast a properly signed transaction.
Now, of course, Circle can't just mint a limitless supply because we have a minting allowance set by CENTRE. While CENTRE itself can't mint coins, they do operate a minting allowance system with around the clock availability which can grant Circle a additional allowance per a ruleset to effectively manage risk.
This might seem to be getting into the weeds a bit but support for multiple minters (Circle and Coinbase here for example) is a significant differentiator between USDC and other reserve backed stablecoins.
[0] https://support.usdc.circle.com/hc/en-us/articles/3600152783...