You can take the rapper out of the hood but you cant take the hood out of the rapper.

The Game's new music video shoot with Chris Brown got gangsta -- for real -- when a producer was held up at gunpoint ... losing more than $12,000 in cash and jewelry ... TMZ has learned.

Law enforcement sources tell us the armed robbery went down Tuesday in South Los Angeles -- and the producer was sitting in his car with another person when 2 black male suspects walked up, pulled out a gun and demanded the goods. They made off in a gray Nissan Altima.

Sources on the music video shoot say the producer, named Mars, had walked about a block from the set when his jewelry and his wallet -- stuffed with a couple thousand bucks -- got jacked.

A rep for Game said everyone on the set is supposed to have security while walking around the neighborhood. A TMZ camera guy was on the block when Game got word of the robbery and started chewing out his security team.