Rooted Galaxy Tab3 won't boot, can't into recovery mode, need help to restore

[AC Question]

I've got a Samsung Galaxy Tab3 10.1 GT-P5210 that I tried to root recently, but after rooting, my tablet is stuck in boot mode after attempting to restart, where it's on but stuck at the initial "Samsung Galaxy Tab3" screen. I can't even wipe because I can't get it to go into recovery mode (it just turns itself on again when I do the recovery button combo, but I can still go into Odin mode). In my fatigue, I think I rooted for the right OS update but wrong build ID (rooting for P5210XXUBNH1, and while I don't remember what my tablet's build was anymore, I don't remember it being that), and I'm can't find US firmware I could download to unroot/reinstall with.

So I'm kind of bricked with self-help. Anyone know what I could do from here to get my tablet running again?