Larry, you can load both at the same time, mix n match as you please. Have a great day!

Larry, stagger loading is no issue in the Judge however, the .410 will cover your goal just fine with shot and/or slugs. Cheers and stay safe!

You can shoot both threw at once, I've known people who do and say that's why they like the pistol for defense, to load couple 410 and couple 45lc to cover more ground. I wouldn't make it a regular thing, normally I'd say one or the other and if you shoot a bunch of 410 I'd advise to run a bore brush or snake threw it before running 45lc. But if you want to keep couple of each for hunting or self defense in it that won't hurt anything. I just wouldn't do it regularly. Hope this helps.

You can mixed load the judge,
Iraqvet8888 has a good video here.
https://youtu.be/NFvTV1TWJno