According to the bet they make with the sheriff, the Big and Little Enos, who are recently opening a sea food restaurant, they will lose their badge in case of the sheriff arrive on time.
This film doesn't even have the basic narrative coherence of the first two, and it rambles about aimlessly with little humor or action. This is commercial filmmaking at its very worst.
Lowry, Birnbaum, and Dasheu are really unfortunate they weren't making movies 45 years ago; they could have done real well for themselves making two-reel comedies for Joseph Goebbels.