What's the name of this Bugs Bunny / Elmer Fudd Looney Toons episode?

It's one of those older classic Looney Toons episodes in the early
1940s. Bugs Bunny and Elmer Fudd are in a theater throughout the rest
of the episode.
They are about to jump from a high diving board onstage into a small
glass of water.
Later in the final few minutes, a short little old man with a big nose
and white mustache, wearing cowboy hat and a dark trench coat
threatens Elmer Fudd in the theater with a rifle. Then, a movie starts
showing up on the screen. Together, Elmer and the little old man sit
down in seats and watch the film. As the little old man laughs, Elmer
sees Bugs Bunny on the big screen in the dressing room dressing and
disguising himself as the little old man. Realizing the identity of
the old cohort, Elmer tears off the guys trench coat, and it's not
Bugs Bunny in disguise. The little old man is naked in his underwear.
Again, the little old man threatens him and kicks him around out of
the theater. The episode ends with Bugs as conductor of the pit
orchestra of the theatre in a white whig.

What is the name of this classic Bugs Bunny / Elmer Fudd episode? I
have seen this many times as a kid, and I cannot remember the name of
the episode.