My experience with the military is that loudspeaker announcements like this do NOT occur in simulator buildings. They would be both distracting and largely unnecessary when there are land lines and published schedules available.
Besides the simulators themselves there are briefing and debriefing rooms where crews and instructors are discussing conduct of the events. Frequent loudspeaker announcements would interrupt these discussions and negatively impact the learning process.
A simulator building is much closer to the environment of a classroom or library than it is to a busy airport, train station, or other public area where you would hear announcements of the type you describe.
Depending on how much realism you are striving for there are some distinctive sounds you will hear in a room full of full motion simulators. These range from the low frequency industrial hum of HVAC and equip cooling fans, to the higher pitched whine of hydraulic pumps, to the swoosh and thump sounds of actuating cylinders moving and hitting bump stops during more aggressive motions associated with unusual attitude or spin recoveries. Up at the control console it will be a bit more muted, but you will hear the crew ICS and radio communications over a speaker, stall warning horns, GPWS alerts, etc.