12 Jul '23 07:22>
It happens that I get a new "welcome" game what is for me the middle of the night. So I see the game hours after the person moved (the non-movers are of no concern here).
My suggestion: The greeters could offer a time period when they are online with a high probability, and get "welcome" games only in that timeframe or when they are actually online.
My suggestion: The greeters could offer a time period when they are online with a high probability, and get "welcome" games only in that timeframe or when they are actually online.