There is no moment in chess which emotionally tops stalemate, for either player. It is a brief moment of "OMG", but stalemates can be cool too. Take this 5 minute blitz I just played on live chess. I can't post the whole game because it is long and I'm having trouble opening the PGN with notepad, but here is the final position:
lol
Yeah, chess players need to be awake. Sometimes I make my moves late at night and I don't bother looking too much at the position and make a bad move. Othertimes - late at night - I look at the position and decide to take another look next day when I am more awake, and that is often a good idea.
Anyway in the position you posted it was moving the pawn to f2 that was the blunder. After that move black can not escape a draw. So that was the point where you were not awake. Take a look at the following, there are also some variations if you click on "MOVE LIST":
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