How has no one said Patch yet?
Basically Logan's alias when he is taking a break from the X-men and moonlighting as Tyger Tyger's bodyguard / bar manager in Madripoor. The tux is what he wears when he is working the bar or escorting Tyger.
His other best look is just when he is casual and all cowboyed out, which appears to be what he is rocking in the first trailer.