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Chris Brown is kissing his precious graffiti monsters goodbye, and while it looks like he lost the war to keep the"art" on his Hollywood Hills home -- Chris is saying it's coming down by his choice ... TMZ has learned.

As we previously reported ... Chris has been fighting the city of L.A. since May over the graffiti he plastered on an exterior wall of the house -- even claiming it's protected by the 1st Amendment.

After neighbors complained the images were a blight on the block ... the city threatened to slap Chris with a heavy fine -- but today workers slapped a fresh layer of paint on the concrete wall.

But sources close to Chris tell TMZ he remains defiant ... and only covered up the painted creatures because he wanted to -- NOT because of the city's threats.

Whatever the reason, the LA Building Department of Safety says if its inspectors are satisfied the graffiti is covered tomorrow ... Chris will not be fined.

It's unclear if Chris plans to put up something new. So ... case closed?