If it's a soft lead Foster-type slug, or Brenneke, even better if it's riding in a plastic wad, they generally can go through the weakest/slightest sort of choke known as "Improved Cylinder" or simply "Improved" safely. The hollow skirt of the Foster, and the raised ridges of the Brenneke are purposely made to swage down on firing to conform to the forcing cone of the bore, and of the choke.
The stress to the choke really isn't that different than squeezing down a shot column moving at 1200-odd FPS. And the stress of a soft pure lead slug passing through an IC choke is generally within the bounds of the variations of different loads of ammo, such as 3" magnums, steel shot (if the shotgun is so rated), and the differences in different maker's wads, shot sizes and their muzzle velocity.
Tighter chokes, like "Modified" or "full" are unsafe with slugs in my over-cautious approach. However, in the interest of full disclosure, there is lots of "standard" advice out there in fully modern shotguns to use whichever choke provides the best groups for you, up to and including a full choke.
Also, most multi-chokes have a wide open cylinder/slug setting.
So a slug is probably safe on the C-lect a choke's widest setting, putting my money where my mouth is, were it up to me, I'd be willing to shoot a Foster slug through your setup it were it my shotgun and probably one or two clicks tighter if I saw an improvement in it's groupings I deemed worth it.
However I would still want to find some factory documentation for that choke if at all possible, but depending on how old it is, it may not actually apply to the tech of modern ammo that's often got a lot of "lawyer proofing" built into it these days.