I did as a test, Grok has "workspaces" and you can add a pre-prompt. So I made a Kamina (from Gurren Lagann) "worspace" so I could ask it silly questions and get back hyped up answers from "Kamina" it worked decently, my point is some tools out there let you "pre-prompt" based on your context. I believe Perplexity has this as well, they don't make it easy to find though.
They call it spaces, so when you create a "Space" on Desktop at least, you look on the right hand corner for the three dots, next to the Share button, and click "Settings":
> Give instructions to Perplexity to customize how answers are focused and structured.
You type into that box, now every space you make can have a fully custom "pre-prompt" as I call it.
I only just started using Perplexity, they really need to rework their UI a little bit.