A real evening
A friend who cancels may be busy, tired, overcommitted, or simply not able to make this particular rhythm work. It does not need a story attached to it.
A little structure
Send the next invitation as information, not a referendum: “We are playing Tuesday if you are free.” This leaves a door open without asking her to defend a no.
Make room for ordinary life
When she does come, let her arrive as herself. No teasing about her absence, no scorekeeping, just a chair and a hand in motion.
Keep the promise modest.
This is social guidance, not medical or mental-health advice.