Hey there. I’ve had experience with three brands on your list.
(1) Open country AT3:
Bought them on good reviews and loved the way they looked. Absolutely Dangerous IN THE RAIN!!! Had them on an f150 with 2.7 EcoBoost. Would spin the tires with light throttle from a stop. Freeway on ramps would feel like the *** end would come around at any second. I’m a very experienced driver and they made me nervous. Not to mention my wife drives the truck at times which made me say enough! Put about 3k miles on them and returned them under a satisfaction warranty for the for the next tire on my list. .
(2) Continental Terrain Contact AT:
Awesome tire in all conditions especially wet. Also very quiet. Put about 50k miles on them. I traded that truck for my ‘24 Ram Laramie Hemi.
(3) Cooper discoverer at3 xlt.
While I loved the continentals, I wanted something a bit more aggressive looking without being super noisy and of course good in wet. Based on reviews I gave them a try. Wow,,,, VERY good tire and looks great too. Have about 5k on them and still no issue. A tad, I mean splitting hairs a tiny bit louder than the conti’s BUT that could also be that the Ram is super quiet compared to my F150.
There you have it. My 3 cents, or should I say choices to consider, or not.
Good luck.