I can’t speak directly to a 2021 model, but I put one on my 02. I’d recommend that you tie into the taillights. Of course you have to have your headlights on to give it power but that’s not a bad idea anyway. This way the repeater isn’t on all the time when you might not need it. Better yet, if you only have one trailer then install it on that trailer. It allows you to get it even closer to the wheels. I imagine that you know this, but don’t hide it behind anything metal as that will inhibit the signal strength. This is one of the problems with GM’s current receiver location since it’s behind the license plate.
On a side note, what repeater are you going to use? I’m told that the repeater used by Tire Minder operates on the same frequency as the oem system and it’s what I’m going to try.