In that case you’re going to need a code read done to find out why. It’s either an overload or a short. Fuse 110 should be a 40A and powers the compressor switching (on/off) relay. If that’s blowing then most likely you have a relay or compressor fault. Given it’s pumping too high, that suggests the pump is running OK but isn’t cutting out which could be a relay issue (not switching the pump off or has a short internally). Blowing a 40A fuse takes some doing and could lead to a fire. The relay is right side boot cubby below and to the right of the fuse box as you look at it and mounted on the rear of the panel….
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If it’s getting very hot then beware. You could try unplugging it to see if the car drops. Make sure the ignition is off and the key out!
If that doesn’t work then unless you can get the air pressure down, recovery to a BMW Indy or dealer may be an option.
Never anthropomorphise computers. They hate that.