I have a Milwaukee 2767 1/2" drive 18v impact gun that is my primary lug nut removal tool.
Both of my trucks have a Chicago Pneumatic 3/4" drive air gun, a 3/4" breaker bar, the BII lug nut wrench with a longer than normal bar, and a cheater pipe to slip over whatever if I need it. Trucks with duals should carry a pork chop. I'm a big fan of having two bottle jacks.
Once the truck is yours, home from recovery, etc - Remove all lugnuts, clean, reinstall correctly, etc. Then you are sure they're not on there tighter than you can manage when the unexpected happens in the future. If your shop tools are not the same ones you carry on the truck, it's probably wise to use the tools you carry on the truck to change a tire at home at least once - make sure everything works correctly.
I don't have much MTVR experience, but something important on the HET and PLS is that the lug studs are so close to the planetary hub, that many regular walled impact sockets do not fit between the lug nut and the hub. I have a Snap-on 3/4" drive 1-1/2" thin wall deep impact socket that fits. Proto, Grey Pneumatic, Sunex, etc make such sockets in many sizes. Given that the MTVR has planetary axles, this may be of consequence.
@simp5782 , the HET is hub piloted and uses 38mm lug nuts.