As long I know, this are post-game notations, when you are analising a game you can mark like “questionable choise (?)”, like when giving up some pieces, making a non-forzated mistake or playing something really non-related to the current position (like when the best move is to castle or to do a easy-to-see trade, the player played pawn to a3)
The “!” and “!!” are when you do some hard-to-see plays, or finding the best choise in a difficult position in mid or late game. (following an opening isn’t “!” because they are very known, but finding a forced checkmate in 6 plays is a !!)
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