Nous nous rencontrons
instead of 'nous nous rejoignons / nous nous retrouvons
is it fine?
Freeform Writing Exercise A1
Rencontrer is more of a chance meeting, not an arranged one. It can also be the first introduction to someone.
Retrouver is "to meet up" or to meet someone again after a long time.
Here is a good resource: https://www.frenchtoday.com/blog/french-verb-conjugation/to-meet-up/
Given that the meeting was a regular arrangement between friends then I think that "retrouver" is the most appropriate in the sense of "meeting again".
Rejoindre takes a sense of "meeting / appointment"
Rencontrer takes a sense of "being introduced"
Let's see what others may offer, but this my understanding of how the three options would rank in this context.
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