Interesting pawn break

This is just a nice pawn break that was suggested by an engine when I looked at the analysis after a game. The position can be seen below:

In the above position I simply developed with 10...Be6. However, the engine suggests that I should have made the pawn break 10...d5. This pawn break was very surprising to me, since it looks like white is guarding the d5 square 4 times and black is attacking it 2 times. Granted whites queen might be a bit stuck defending the bishop, since after exd5 my rook is attacking it, but taking advantage of that fact seems a bit hard since I can't really sacrifice an exchange in order to regain the pawn or sacrifice my queen for a piece to capture the bishop on e6. So I don't see a way to take advantage of whites queen being overworked of both defending d5 and e3.

While still being a bit confused I look further in the line with the assistance of the engine. 10...d5 11.exd5 Nb4 12.Bc4 Bf5 13.Bb3

This far I didn't have a problem to see from the initial position, but I am still puzzled. If black does not have anything concrete and allows white to play a3 and black responds with Na6, then this pawn sacrifice looks very strange to me. So I think black has to find something here. I encourage the reader to stop and think for a bit if you can find any good idea before continuing.

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If your idea was 13...Nxc2 14.Bxc2 Bxc2+ 15.Qxc2 Rxe3, then I have bad news. If white plays 15.Kxc2 instead of 15.Qxc2, then black will just be behind a piece, so that is not the answer.

There are actually 2 interesting ideas black can do (I found neither ). One is that black actually can play 13...Nfxe5! Black has a tactic after 14.Nxd5 Nxd5 15.Bxd5

After 15...Qf6 black is threatening Qxb2# and amazingly white has no defence without giving back the piece. For example 16.Bd4 Qxd4 17.Qxd4 Bxd4 18.Rxd4 Re1+ results in a back rank checkmate and 16.Qc1 can simply be responded by 16...Rxe3. Additionally c3 is not a legal move since the pawn is pinned.

The other idea black could try was 13...a5

The idea is to be able to respond 14.a3 with 14...a4 15.Nxa4 Nxc2

The point is that white can't keep both the knight on a4 and the bishop on e3 defended. Either white loses the bishop after 16.Bxc2 Bxc2+ 17.Qxc2 Rxe3 or white loses the knight after 16.Bxc2 Bxc2+ 17.Kxc2 Rxa4.

I just wanted to share this since I found the pawn break very fascinating. Black is in no way better after the pawn break and without looking at a longer depth the engine suggests white should not capture with the pawn on d5, but rather play a move like 11.Qc1 or 11.Bg5