Having agency is different from having capacity. Lots of us simply don't have the energy to coordinate our social lives to this extent. That's the benefit of a third place, or even just an office.
I sympathize, but I look at (energy/emotional) capacity for life things like this as a resource, and there's such thing as poverty. But poverty is a state to be in, not a fixed fact of your life
Climbing out of it means finding room around the edges, small things you do have the capacity to chip away at, and making yourself more and more room that you can then use to make more and more progress. The same goes for social stuff and for increasing your capacity in general
Capacity? Like amount to produce?
I'm sorry but reading what you wrote, you seem to be self-defeating yourself by putting the responsibility on to the third place or office. There's nothing hard nor easy about coordinating a social life per say, it is simple though. It's literally a fundamental life skill that falls under communication, is it not?
I'd love to help or offer suggestions.