In this hand, I want to know what is the correct and optimal play for V2.

1/3 home game- table has a mix of decent thinking players and some loose passive fish.
Hero (UTG+2)– 30 year old Indian. I’ve been at the table for about 4 hours. Playing TAG and have not lost a pot at showdown. Been catching cards and also playing well in position. I’ve been picking my spots to semi bluff and it has worked well. Stack - $650

V1(UTG) – White guy late 20s. This is my first session with him. Opens quite a few pots, some questionable ones. I saw him open raise Q9o, A3o. He has a high c-bet frequency into multiple opponents. I’ve 3-bet him light a couple of times and he has folded. Stack- $400.

V2(UTG+1) – main V in the hand. White guy late 30s. Lost one buy in in the first two hours- I think he got sucked out. Bought back in for 500. Now sitting on a stack of $450. Decent thinking player. Have not seen him get out of line this session. I have not yet seen him make any aggressive moves so far.

V3(Button)- Fish on tilt. Not much relevance to the hand. Stack -$250

V3- button straddles to $6
V1 – raises to $18
V2 – calls
Hero – 77 calls
Folds to button, calls.

Flop ($76) – Q79
V1 – bets 35, V2 calls, hero raises $155
Button folds, V1 folds.

Pot is ~300. V2 has $390 behind.

V2 tanks for 5 min and jams. $270 more to me. I call and V shows A10

My question is – Is shoving the correct play here for V2, why/ why not?

Shoving is the only real way to get value out of this hand. Calling off 40% of his stack otf is something he cant/wont do. If the turn bricks it sucks to fold after committing so much.

villain probably thinks your raise is either a set or a big queen since the board is so wet. so he's got 9 outs against a set and 12 against a big queen maybe a few more for runner runner straight.

Villain is playing the suited ace to win stacks so fold or shove? Its a fairly high variance play on villains part. Good 3bet size on your part though.

I would say overall its correct, like i said its high variance but villain has decent equity even against your hand.