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Follow a real game with no board
Pro tip: After each move, say only what changed: one piece left a square, it arrived on another.
The moves of a real game arrive one at a time, from the starting position, with no board at any point. Then a single question: which square is that piece on now, or which piece stands on this square. It is deliberately not a reconstruction of the whole board, which is what position reconstruction asks for. A blindfold game never asks you to recite thirty-two squares. It asks you one thing at a time, twenty times a game, and it asks while you are still expected to think.
The technique is to stop carrying the list of moves and carry the position instead. A move list grows forever; a position is one state, and after each move only two squares changed: a piece left one and arrived on another. Say what changed and nothing else. When the picture blurs, stop, rebuild the position you were last sure of, and continue from there, because every move calculated on a fuzzy board is wrong. The full method is in the move sequences lesson, and the score-keeping half of the same job is material count.