Does your business lose leads after hours — and does anyone actually do anything about it?

I've been building an AI voice receptionist for the past several months — it handles after-hours calls, does full intake, books appointments, and sends a transcript and summary after every call. Started with law firms but it works for any business that relies on inbound calls.

I'm at the point where I think the right growth path is partnering with marketing agencies who already have relationships with the kinds of businesses that need this — rather than trying to cold call every dental office and law firm myself.

But I'm genuinely not sure how to structure it. A few things I'm wrestling with:

Do agencies want to resell it, refer it, or white label it — and which model actually works in practice?

How do you approach an agency owner about adding something like this to what they already offer without it feeling like a cold pitch?

And what does a referral fee structure actually look like that makes it worth their time to mention it?