Brilliant Moves in New Game Analysis Report
The computer doesn't consider every possible move in its initial evaluation because certain types of moves are unlikely to result in any gains (for example it won't calculate to high depth on the move "blunder your queen") and are therefore not considered as it would take extra computing time. Occasionally one of these moves winds up in a gain of material or improvement of the position due to rare/unusual tactics or aspects of the position. These are the moves that wind up labeled "brilliant".

13. c5! (!!)
My opponent found a "brilliant" move. I honestly would rate this as an !? if it weren't the only good move...
13... Be5!! (★)
I believe this move to be more brilliant... Not only does it avoid the trap white set up but also a storming of black's bases, and causes a storming of white's bases.
What do you think?

13. c5! (!!)
My opponent found a "brilliant" move. I honestly would rate this as an !? if it weren't the only good move...
13... Be5!! (★)
I believe this move to be more brilliant... Not only does it avoid the trap white set up but also a storming of black's bases, and causes a storming of white's bases.
What do you think?
Neither of them are brilliant.

I love how it marks the bongcloud as "brilliant"; it is normally a mistake or blunder
It's because I'm protecting the pawn attacking the queen and slowly forcing a checkmate its not the bong cloud but definitely looks like it good eye you can see the whole game on my Instagram faith_dream_happiness I posted it in my story
Its easy to see why it's brilliant as it looks like Qd1 is the best way to respond to the check leading to a simple queen exchange. Kd2 gives up the rook, so without looking deeper into the position it appears to be a bad move!

I love how it marks the bongcloud as "brilliant"; it is normally a mistake or blunder
It's because I'm protecting the pawn attacking the queen and slowly forcing a checkmate its not the bong cloud but definitely looks like it good eye you can see the whole game on my Instagram faith_dream_happiness I posted it in my story
Its easy to see why it's brilliant as it looks like Qd1 is the best way to respond to the check leading to a simple queen exchange. Kd2 gives up the rook, so without looking deeper into the position it appears to be a bad move!
Best response is to take the rook but after that computer blundered and I won with a forced 8 move checkmate

I love how it marks the bongcloud as "brilliant"; it is normally a mistake or blunder
It's because I'm protecting the pawn attacking the queen and slowly forcing a checkmate its not the bong cloud but definitely looks like it good eye you can see the whole game on my Instagram faith_dream_happiness I posted it in my story
Its easy to see why it's brilliant as it looks like Qd1 is the best way to respond to the check leading to a simple queen exchange. Kd2 gives up the rook, so without looking deeper into the position it appears to be a bad move!

13. c5! (!!)
My opponent found a "brilliant" move. I honestly would rate this as an !? if it weren't the only good move...
13... Be5!! (★)
I believe this move to be more brilliant... Not only does it avoid the trap white set up but also a storming of black's bases, and causes a storming of white's bases.
What do you think?
Neither of them are brilliant.
What defines a "brilliant" move for you?
(edit: now I'm going 13. c5!? Be5!)

Agree, given that depth can be theoretically infinite, it's always a matter of depth... The only way this could be an actual argument is if the engine is pruning some branches and originally pruned the move, and it gets calculated after the players does it, it would not find it ever because of pruning, IF that's the case.. But given theoretically infinite depth, you can also hypothesize that there is no pruning.

My opponent made a brilliant move. It doesn't look brilliant to me. Can anyone explain?
I agree; my opponent did twice but I believe my follow-up is stronger in both cases. One ups the tension so that, although one wrong move for black (me) will reactivate the nearby queen resulting in check, one wrong move for white results in checkmate.

This is a game where I made 4 brilliant moves and I can't understand any of them.
https://www.chess.com/analysis/game/live/5644860585
I love how it marks the bongcloud as "brilliant"; it is normally a mistake or blunder
It's because I'm protecting the pawn attacking the queen and slowly forcing a checkmate its not the bong cloud but definitely looks like it good eye you can see the whole game on my Instagram faith_dream_happiness I posted it in my story