What a good intro actually does
A podcast intro has three jobs: signal the tone of the show within seconds, make the show recognisable across episodes, and stay out of the way when the host starts talking. That favours a clear rhythm, a simple melodic hook and an arrangement that is not crowded in the same frequency range as a human voice.
Because of that, avoid prompts that ask for epic and complex. A tight eight-bar idea with a distinctive instrument beats a wall of layers. Say what the show is about, add two or three instruments, give a tempo and ask for a clean ending, and you will have something that can be trimmed to a usable cue.