The list of where CHL holders cannot carry is here (section N is the relevant portion).
The pertinent section for places that serve alcohol is RS 40:1379.3 N(10):
So the question becomes what a Class A-General permit is. This is defined in RS 26:71.1 (1). It appears that a Class A-General permit is only issued to bars, and cannot be issued to anywhere that can have minors on the premises.N. No concealed handgun may be carried into and no concealed handgun permit issued pursuant to this Section shall authorize or entitle a permittee to carry a concealed handgun in any of the following:
(10) Any portion of the permitted area of an establishment that has been granted a Class A-General retail permit, as defined in Part II of Chapter 1 or Part II of Chapter 2 of Title 26 of the Louisiana Revised Statutes of 1950, to sell alcoholic beverages for consumption on the premises.
Restaurants are issued a different kind of permit (Class A-Restaurant), as are places that sell alcohol for off-premises consumption (Class C). Neither of these types of establishments are mentioned as off-limits for carry.