Play normally and send any 2 and Ace of different suits to the back. In this case I have 2 of Hearts and Ace of Spades. Remember don't move any cards to the topmost slots during the entire process.

Play normally until you get a 2 of Clubs or Diamonds at the top. This is the only step that requires brain power. Your stack should look like this now:

Left-click on the Ace of Spades at the back to send both prepared cards to the top.

You can now send any card to the back by alternating left-click Ace of Spades, right-click any card, left-click Ace of Spades, right-click any card..... Use this technique to send the Ace of Heart first, and then send the remaining two Aces. The bottom of your stack should look like this now:

Sort the entire stack in ascending order by sending cards to the back also in ascending order. This time the order of the suits doesn't matter. Do this until all of the Aces slowly reach the top.

You can also sort the cards by suit like this if you know what you are doing.

In this case it's the Ace of Diamonds.
(Or Ace of Hearts in the 2nd picture)

In some cases this strategy will not work if you have 2 or more Aces (very unlikely) automatically moved to the topmost slots at the very beginning. In this case you need to manually solve the remaining Aces, and then apply the same strategy but with 3 and 2.