This was my first >11$ buy in tournament. I want to know what I could've or should've done differently.

I think you can fold here, especially after you bet out on the flop. I'm assuming you bet out thinking your hand was good and looking for information. The fact that he 3 bet you pf and then raised you after you bet out is a good indication that he has a strong hand. I don't think he is ever shoving with less than AQ. I'm not sure what type of info you have on him or the history you might have with him. But I think it's safe to say AQ would be the bottom of his pushing range here, leaving the possibility of him having AA KK or a set.
I feel like I would have folded, you were still really deep even if you do fold.

I had no history what so ever. But I guess you are correct. I would've still had close to initial amount of chips if I folded.

If I had followed the normal route of letting him bet first as he was the aggressor, I would've re-raised him on the flop. Is this a better approach in general?

Out of position pre-flop early in tournament it's fine to fold to the 3-bet from the button. You raised from early position, so unless he's a maniac it's unlikely that he's weak and just 3-betting from position with no pot odds.

You like the flop in that you're now crushing AK, A-10, KQ, and small pocket pairs, but the board hits a lot of villain's range (99, TT, KJ) and could give villain a draw with J-10 or A-J so I agree that you need to lead out, although 500 may have been too much.

Then fold to villain's shove. You have shown strength pre-flop and post-flop and with these stack sizes villain has to be assuming that you will call getting better than 2.5:1 so it's hard to see a hand that you beat unless villain is shoving with a draw like J-10 or J-9 and hoping he has some fold equity. Top Pair/Top Kicker is worth betting, but not worth calling off all your chips here.

Think it's closer than posters are making it seem.

Pro tip: Don't post the results next time.

Thanks you so much. Writing my query and reading the answers makes me see it clearly why I should've folded.

This was my first post by the way

Thank you!

Should've kept the title different? Will do next time

Does the fact that this is a 22$ tourney on PS factor in somehow? That I should've given more credit to the guy since this is a bigger tourney?

No. $20 buy-in is not big enough to make much of a difference, especially early when there is a re-buy option. If anything, I'm more likely to make the call early since villain is more likely to be bluffing and planning to re-buy if he busts out, and I can re-buy if I'm wrong.

This is good feedback. +1

Pre flop seems fine, definitely can't do anything other than calling.

Flop is quite interesting when you defend vs a larger 3bet, this flop is actually better for you than the 3bettor, so leading can be a better option than x/r with some holdings. However, AQ is nowhere near the top of our range, so I'd consider x/c to let him bluff some stuff into us. When you do lead for this sizing especially, added with the flop texture, I think we now have a very easy b/f as played.

Is the flop really that much better for us than the 3-bettor ? What range do you put him on ?

OP doesn't mention any read or aggressive 3bet % from villain.

We have TPTK but if villain is 3betting a range like 99+/AQ+ we are not doing that well.

I understood none of this. Can you give me a link to some place that explains all the a/b notations. Sorry for the noobness.

Where it says its a rebuy? That changes everything.

It wasn't a rebuy tournament.

Thought so.

Well the BTN is 3betting a polarised range, so the hands we want to continue with have to be ahead of this range, it so happens that on this board, we have a lot of really strong holdings.

think about investing into some poker tracking software like Holdem manager 2 or poker tracker.

personally I think this is completely a read based play and without we can't "technically" make the optimal desicion without it.

By knowing what kind of player V is it allows me to make my preflop desicion alot easier (ie: if hes tight il fold, if hes loose il call)

Why did you lead the flop ? When you do this you need to already have a plan if you are going to bet/fold or bet/call