You probably already use Arduinos and Raspberries for your escape room props and these boards are most common in DIY IoT projects and in corporate IoT proof-of-concept projects.
You probably already use Arduinos ans Raspberries for your escape room props hence why not to connect and interconnect them in your Local Area network.
Benefits of connecting props to the network
The game master is aware in real time of the progress of the players, can send commands to the props to trigger anything, possibly completing a challenge in which the players are stuck.
The game countdown can sync with props to trigger events in the room such as audio and light effects.
Room-level automation can be implemented.
The game master and staff can see the health of the props to prevent wear and equipment failure, which can trigger a workaround.
Staff can take control of the props remotely for maintenance.