Moving from Rim- to Disc-Brake w/ Same Groupset? (Campy 12s)

[boxhandler]

I've got a roadie tricked out in a full Campagnolo Chorus 12-speed gruppo. I love the bike so very much (even though I'm still in the honeymoon phase due to being a fair-weather rider and having built it in the winter). BUT, I'm thinking about swapping out the frame for an all-road or gravel model that can accommodate wider tires (whether 650B or 700C). The vast majority of options available are oriented around disc brakes.

Now, because Campy sells two sets of shift/brake levers, one for rim and one for disc, I assumed the braking part of these levers was differentiated. But it occurs to me that maybe they're sold separately simply because the disc-oriented set comes with actual calipers and not because of incompatibility. I don't know if this is true or not. So here's my question: can I use my current levers with disc brakes and if so are there limitations on which ones I can use? Or would I actually need to buy new levers and sell the old ones? I don't know what brakes I would get (so recs are appreciated...I love everything Paul but it's also $$$$).

Thank you!