I know they said that the Scarface in the game is an impersonator, but there's a comic book sequel that explains that Tony survived. Unlike the video game, it's not an alternate timeline and it plays out the exact same as the film. I think that that fits into the canon here honestly.
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Literally every crossover character in Payday is a dead guy who's not actually dead, I swear. John Wick is dead (not really), Tony Montana is dead (not really), Jimmy is dead multiple times (but not really), Jacket is dead (but now he's a cosplayer), Bodhi is dead (but not really), I mean, Jesus. When I die will I join the Payday gang!?