Endgame with 3 extra pawns. Is it a draw?

An interesting endgame from my game.
What do you think about it?

Fen:
6rr/1ppkR3/p2p4/3P4/1PPb1P2/6B1/P5PP/4R2K b - - 0 27

See from this moment: 6rr/1ppkR3/p2p4/3P4/1PPb1P2/6B1/P5PP/4R2K b - - 0 27

Hi,

my thoughts on the game

Stockfish evaluation suggests black *might* be able to hold this if he was playing at 3000+ strength. I suppose feasibly Carlsen and Caruana might have drawn it, although from the eval, had white played 27. R1e4 instead of 27. a3, white certainly wins.

However, for us mortals, white surely wins this anyway. Just looking 10 moves ahead, black has to find 7 - 8 "only" moves to stay alive. Two connected passed pawns and more active rooks...hard to imagine black below GM level surviving it. Black's gonna have to play flawlessly and he certainly didn't up to this point.

Thanks @Slugy , I agree with most of your thoughts. If you add me as a member of the study we can continue to talk about it.

Thanks @MajorGiggles. Yes, it's true that for us mortals it is practically impossible draw that position. But I found interesting to see how it was possible for a computer or, perhaps, for a super-GM.

@Tarid93 Done