idea for a fix

I wouldn't take the chair apart, Im sure Id split something here or there.
there wasn't much play, but I pushed the joint as open as I could get it, stuck some ca glue in there, clamped it and then decided Id use some narrow small screws into the tenon, and just put a plug over it, like I said, It wont be seen.
I haven't made a plug yet, the chair seems steady enough, Ill see how it works out in front of the radiator again.
 
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