Why jingles are written differently from songs
A song has time to develop; a jingle has one job, which is to lodge a name in memory in under thirty seconds. That changes everything about the brief. There is no verse, only a hook. The brand name is the melody's highest or longest note. The tagline is the last thing heard. Radio spots run 15, 30 or 60 seconds, so a jingle that has to fit a slot needs to hit its final word before the clock runs out, with a clean ending rather than a fade.
Practically, that means your prompt should say short, say how many times the name is sung, and give the exact tagline. Cheerful, bright and simple beat clever. Ask for a big unison vocal on the name, a tempo that moves, usually 115 to 135 BPM, and a definite ending on the tagline. If the generated track runs long, keep the first thirty seconds; the hook is always at the top.