My experience with classic bikes running carbies confirmed unleaded goes off after 3 months max and leaves a nasty gel like residual.
Every couple of days Rb, WTF you got in your fuel over there.
Have carbed bikes that can sit for a little while between rides, try to keep the tanks fairly full and put a little fuel stabiliser in the tank for good measure.
Whether the stabiliser actually does any good I'm not sure but have had no problems.
Rule for me is if there not going for a ride they don't get started.
As for 4 to 6 weeks OP I'd keep it fairly full (no room for condensation) and not worry, I'd be more concerned about the battery (tender).
Add me to the keep your tank full crowd. A full tank of volatile fuel, and all petroleum is volatile, keeps moisture at bay. Always has, always will.