First, as others have pointed out, ensure the occupant load is indeed over 49 or the space is greater than 750 sq. ft. For conference rooms, I always use the unconcentrated assembly load factor.
Since the occupant load is greater than 49, it must be at least 50, and Section 1010.1.10 states in part, "...swinging doors serving rooms or spaces with an occupant load of 50 or more in a Group A or E occupancy, shall not be provided with a latch or lock other than panic hardware or fire exit hardware."
A conference room with an occupant load of 50 or more is, in my opinion, a Group A-3. (I know I will get some pushback on this, but Section 303.1 states assembly occupancies are "...for the gathering of persons for purposes such as civic, social, or religious functions..."--it does not state "limited to." However, it could be argued that meetings, even business meetings, are social.)
The two means of egress pathways are definitely serving a room with an "occupant load of 50 or more." Since they use the plural "doors," all doors along that pathway must be either panic hardware or fire exit devices.