No, that would be a Federal class III license. Class A, B etc is apparently a Mass. state designation for who knows what, prolly anything the libtards don't like on any given day.
based on my many years of legal practices I have come up with the following law of nature:
The more restrictive the gun control laws in a political entity, the greater in incidence of political corruption within that entity.
example: Chicago, high political corruption and very restrictive gun control. Same for Washington DC.