Maybe the engine thought I was sacrificing the bishop on e3? (after that I can take on h5) and if so, why did coach say "sacrificing the knight was the right idea"?
Brilliant move seems to be awarded for no reason?

It was probably the only possible move in the position that would still lead to a draw. Because if black takes bishop you take knight on h5 and you go down nothing plus black was getting ready to kick out your knight so they can take the bishop

I played a blitz game recently and was awarded a brilliant move for no reason? I didn't sacrifice anything, just a simple trade but Game Review gave me a brilliant move, and coach said I sacced a knight which clearly had protection?
Screenshot below
brilliant moves can, sometimes, be awarded for no reason at all, for example, GothamChess made a video where he showed examples of brilliant moves that made no sense at all, they were not even close to a brilliant move, so i think that chess.com bot can sometimes give brilliant moves to a move that is not brilliant at all.

Remember, the queen and the rook are on the same file as your king. After Nh5 x Nf4, you have the choice to take with either the bishop on e3 or with the knight on e2. If you take with knight (13.Ne2 x Nf4) and he takes back with bishop (Bd6 x Nf4) you can't take back with bishop because its pinned to the king. If you take with the bishop still the problem is that the night is pinned to the king.
Secondly, since the queen was attacking your knight before you moved the brilliant move, just look at the board, where else could your night move? If you move fo c3 for example, he takes your bishop on e3 with queen. So anything you moved in this position would have lost you 3 points.

I played a blitz game recently and was awarded a brilliant move for no reason? I didn't sacrifice anything, just a simple trade but Game Review gave me a brilliant move, and coach said I sacced a knight which clearly had protection?
Screenshot below
brilliant moves can, sometimes, be awarded for no reason at all, for example, GothamChess made a video where he showed examples of brilliant moves that made no sense at all, they were not even close to a brilliant move, so i think that chess.com bot can sometimes give brilliant moves to a move that is not brilliant at all.
Alright thanks. That makes a lot more sense now. Probably will check that video out to see if there were any more ridiculous than this one

I played a blitz game recently and was awarded a brilliant move for no reason? I didn't sacrifice anything, just a simple trade but Game Review gave me a brilliant move, and coach said I sacced a knight which clearly had protection?
Screenshot below
It was probably a better move because you had very little time to think (you said it was blitz).

There's a knight on e2
After the trades, the bishop is pinned to the king on e1, so you sacked the knight without knowing

Agreed, this is just a simple trade. The line the engine gives is materially equal.
No its not a simple trade, go into the computer analysis with the same position and you will find that no other move would work otherwise.

Agreed, this is just a simple trade. The line the engine gives is materially equal.
No its not a simple trade, go into the computer analysis with the same position and you will find that no other move would work otherwise.
Bc4 and c4 are only slightly worse. Also going into the line the computer shows in the screenshot, Black never goes up a knight and material is not unbalanced for more than a single move.
I played a blitz game recently and was awarded a brilliant move for no reason? I didn't sacrifice anything, just a simple trade but Game Review gave me a brilliant move, and coach said I sacced a knight which clearly had protection?
Screenshot below