What's your pager rotation like? I want to say you have follows-the-sun, and so your on-call shifts are 12-hours long and you swap with a team on the other side of the world from you so you can get said sleep, but I don't want to just assume that.
Why does everyone need to be in the room? I have a groomed backlog and can talk to people async as needed. We also record meetings if you missed them and depending on the context of the meeting or importance, we'll hold timezone friendly meetings for everyone as required.