> Does it count as a third space if you have to pay for it?
Yes, third spaces/places include places you need to pay for.
Yes, third spaces/places include places you need to pay for.
That third spaces include commercial spaces does not imply that “free” (tax or donation funded) third spaces should not exist. Parks and museums are also great third spaces.
Compare this to earlier times when it might have been common and socially acceptable to sit for hours on a single purchase and just shoot the shit with fellow townspeople.