Of course, there are limits. First, a person may not carry a pistol into any of the places listed in MCL 750.234d. They are:
(a) A depository financial institution or a subsidiary or affiliate of a depository financial institution.
(b) A church or other house of religious worship.
(c) A court.
(d) A theatre.
(e) A sports arena.
(f) A day care center.
(g) A hospital.
(h) An establishment licensed under the Michigan liquor control act.
Seems that they did not bother to list if you had a CPL where and where you could not OC.