Very tough spot.
I think a lot of it depends on your image. Are you a young guy? What is your race, etc. If you are like me (old white guy) then I think this is a relatively easy fold on the river and maybe even the turn. My image is that I wouldn't be 3-betting wide (which turns out not to be true).
If you are young guy (whatever race) you could be 3-betting wide and villain could in theory have QQ/JJ because you didn't re-raise pre-flop.
Also because villain is a young white kid he can be looking to make you fold because you clearly don't have AA and TT. But you have somewhat under represented your KK so Villain does have more incentive to bluff or value shove with QQ (and even JJ). It seems like you could have JJ here.
For this to be worth it to call Villain has to be bluffing about 30% of the time. There are basically 9 combos that beat you and Villain can have more than 4 combos of hands that are worse than yours (there are at least 4 combos of A
X
and you could include some combos of QQ as well).
But in the end I probably would fold unless the $10,000 didn't matter to me (you seem to imply that you have more bullets and we are very early in the tournament)