Is there a way to do this contract without going all gun-blazing?

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Still going with my stealthy V or trying to do it. Going on this contract when you have to kill a tiger claw who run gambling machines next to your fixer's appartement and she don't want police to take too much interest in the area (I don't know the name of the quest in English, but in litteral translation from French it's something like "neighbor's feud"). Is there a way to do this with stealth and without going all gun-blazing? there is one access not locked behind a big door OK, but none of the guards seems in a position to be stealthy taken down and they are not very eager to move either. So should i got or is there a smarter way?
 
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