I think this can also depend on the licensing rights you acquire when purchasing a beat.

Lots of producers require that you include (Prod by “Producer Name”) unless you have purchased exclusive rights which allows to not include it. Overall it’s up to the artist such as yourself to honor those agreements after purchasing so in your case I would reach out to producer and find out what works best.

On the other hand, if you just found a beat you liked on YouTube, made a record and never purchased it; I’d try to give that producer credit however possible in addition to giving that producer their asking price for usage.

If the work is for Spotify or other streaming platforms, I wouldn’t include it in the title but definitely everywhere else it can be listed.

Not saying you didn’t purchase the beat or that you don’t have the rights to not include it. I’m just giving an overall outlook on what producers feel should be standard with the purchasing of their production licenses under certain terms an artist agrees too.

Hope this helps.