Let's Play Some Chess-3

You are just going to play a game called "Bishop Removed". The rules are simple. Initally, every square of a chess board contains a bishop. On a single turn you are supposed to remove a bishop which is currently attacked by an even number of bishops. The game ends when you are unable to make a turn. Your score at the end of the game is the total number of bishops you removed. What is the maximum possible score you can attain?

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