hello brother welcome
1° In any situation AA is the best preflop hand, that is, even if it is on the bubble, it is very difficult to fold
2° have AA in the bubble if the tournament is worth cashing and you want to enter them I at least play it like any other hand, if I'm in UTG or medium or in SB I miniraise, if I go against a limp or a miniraise I 3 or 4 bet and hope to read the flop.
On the flop you have to take into account, as in your case if the villain has 77 you have both you that the flop comes out the A or the one that comes out on the flop the 7 the only difference that if nothing comes out the hand is yours.
3° Over time I have learned to fold with high cards in hand, before I never did it I started with AA or KK and even the river did not stop and I got tired of losing hands and tournaments with these hands playing this game. One day I said this I must change it, and I read a tutorial I don't remember today where a player explained the result that this way of playing with AA or KK had given him, not only in the bubble but in the rest of the tournament as well. AA doesn't guarantee anything, he says, but knowing that preflop is always the best hand
4° That that the systems tend to take you out when you are with few chips about to enter the bubble is very relative. I'll tell you 2 weeks ago I finished 2nd in a tournament where at one point I was 32 out of 32 with payment to 30th place, that is, in the middle of the bubble, the great candidate to leave was me. The play comes with me in BB with 2 BB in stack and 35 suite comes to me. The UTG is the leader of the table, he makes a miniraise, which is logical, he forces me to pay or not, but he forces me. the button 3bets and I think "if with this 35 suite by chance I win at least 6 BB plus the ante so I went and the UTG limp called. The UTG cards were K7, the Button AJ and as I told you my 35 suite.......FLOP..... A42.......What's more, I don't even give you the turn and the river hahahahaha Being the last one to get a straight served on the flop is the luck of the runner-up hahahaha how it ends in the tournament So that thing about the system always wanting to kick you out is quite relative
Well brother this is my humble opinion, he plays AA minimally with a miniraise, never limp or just call. Then have fun that you will win many more times than you will lose with AA. Always forward. Cheers