It's not an issue of how - there's a great ADM with markup/down supported already, waiting for system prompts to be injected in realtime via the same online auction system that powers banner ads and smart tv content. There's got to be some latent resistance to the idea for now - but it's so easy to do, it'll happen.
Can you provide some references to what you’re talking about
Sure, https://iabtechlab.com/standards/openrtb/
There's a standardized, normal (in adtech) approach to building 'creative's (viewed/seen ads) around context-dependent scenarios. It's not hard to extend existing IAB primitives to include things like context-enrichment (system prompt augmentation in this case) or whatever. I don't want to malign my downvoters but suspect they're mad I'm pointing it out, rather than engaging with facts as they are. It's trivial for ads to interact with your(our!) AI usage.