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Villain´s 3bet range PF could be TT+, AQ+.
After his minraise it could be TT+, AhKh, AhQh (Qh is river card, but by the flop you dont have this info)
It is pretty easy to see you have close to 50% equity against this range. You are beating TT and JJ which is almost half his range. You are beaten by KK+, which is the same portion of his range as TT-JJ. QQ is almost a tie, but this is a tiny part of his range. Against AhKh you have 45% equity and AhQh you have 55% equity. Though this last three parts of the range are not significant.
After Villain minraises flop, he has already put 1/2 his stack in the pot and he will be very likely calling your shove with this range(he is an unknown @ 10NL, assuming he would fold TT-JJ would be giving him too much credit). So pot is 9.05, and you shove 5.35 to win 14.4. That would need 27% equity to be +EV. Since you have close to 50%, you can shove.
However, if you think villain´s range is different, you should adjust this numbers and reevaluate.
Since you dont have any reads, I tried to come up with standard ranges to make the analysis. But this ranges could be off, so there lies the real problem here I think.
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