Place this clip at the start of the escape, then bring in cartoon chase music underneath as the pursuit builds. Follow it later with the woody woodpecker laugh when the chaser finally gives up and the gag resolves.
About this sound
This clip is a short, high-pitched double beep-beep, delivered like a cheerful little horn rather than a real bird call. It feels cheeky and gleeful, the sound of someone smug about getting away clean. It comes from the Road Runner in Looney Tunes, the bird who constantly outruns Wile E. Coyote.