A battery that discharges that fast is a serious safety issue. Either the battery has gone bad after replacement, or there is a HORRIBLE current drain. If you had a bad actuator that could drain a battery within minutes, it would certainly blow a fuse.
The amount of energy that must be draining would be (I guess) in the 300-500 Watt range. Something's gonna heat up and lead you to it by the burning wiring if nothing else.
Do you have a voltmeter and some experience using it?
We need more details. Does the battery discharge when you have the ignition switch off and the key out? If the answer to that is no, what mode do you have the switch in to cause the discharge?
There are five actuators, and they are trivial to troubleshoot functionally. Driver's side temp, passenger's side temp, dash/feet airflow mode, defrost airflow mode, recirculate airflow mode. Whatever function doesn't work is the bad one.
But you have much more serious problems to deal with first.
Any other observations you haven't shared yet? We *do* have the best team of volunteer troubleshooters around. Trailvoy is a ghost town by comparison since we ALL left. I bet you just heard that phrase over there.