Here puff puff!

And I keep telling you that you fly boys crack me up!

That’s the Guy Incognito scene: Homer had been banned from Moe’s bar, we see someone resembling Homer walking into Moe’s bar, introducing himself as Guy Incognito, Moe believes that this is Homer in disguise and violently removes him from the bar again. A few seconds later, Homer walks by and notices that Guy Incognito resembles him very much, only to be immediately distracted by the dog with the puffy tail in the OP’s image.

I’m less sure about the broader episode, but I think it may be that later Homer pretends to be a pilot in order to drink in a pilots’ bar, is put in a cockpit and makes a mistake there, and as an apology, the Simpsons get free plane tickets and that way it’s discovered that Marge has a fear of flying and this (incl. her going to a psychologist) is what the remaining episode is about. If I’m correct about this, I think the episode is called “Fear of Flying” or very similar.