There is such a thing as supplying an MPPT controller with a DC power supply and use the MPPT controller's charging profile. That is because the controller is a "buck converter". You need to organize that power supply to have an appropriate input to get the MPPT controller output you want.
I am not clear that you can do that at all with a PWM controller, so you will have to look that up if your controller is PWM.
You can confirm the output voltage of your controller with a multimeter. It should be 14.8 at 25C, or as adjusted for temperature from that. It should stay at 14.8 long enough to get the job done, and not drop to 13.6 too soon. Some have a built-in two- hour time limit at the 14.x and then drop to their 13.x. "Too soon" is before the SG is back up to 1.275