In the GIF, Sandler stutters ... before spittin' out, "BULLS***!" -- a clear sign Allen believes Brady photoshopped it all.
TB12, though, sure did a good job sellin' the clip if it was indeed fake -- 'cause he captioned the video by saying, "This is why you film every shot on the course…"
He also celebrated his face off in the vid -- jumpin' around as if he had just won (another) Super Bowl.
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Patrick Mahomes, meanwhile, seems to be on the side of believing Tom's footage was real -- tweeting, "Not going to lie pretty impressive…"
Of course, all three NFL superstars are talkin' golf this week because they're now just days away from taking on each other -- along with Aaron Rodgers -- at this year's The Match tournament in Las Vegas.
Mahomes and Allen will face Rodgers and Brady -- and the guys have already trash-talked each other a bunch leading up to the event.
It all officially kicks off on June 1 ... #cantwait!