So yes this is a family room under the garage. The garage is integrated into the house and there is no room above it only the roof which is insulated.
The front of the room is underground and there is really only one external wall, one internal wall and the other backs onto a stair that provides access to the upper floor. The room is useable and heated as required by the central heating.
The issue is it cools quickly and I want to improve the comfort levels if possible. I am pretty certain there is no insulation in the existing ceiling. Just plasterboard and a 50mm gap to the underside of the garage floor. No obvious way to provide ventilation