your green arrow appears to point to air fuel screw.. there is an o-ring that seals off the screw..
could be the source of gas leakage, Though I think your problem is a seeping bowl gasket (green box)..
The lower carb half is Filthy, typical of bowl gasket leakage, which appears to be traveling aft covering the air box to carb intake tube and clamp (red circle)...
Second photo looks like oil/gas is traveling down outside of hoses from what I can see..
an unplugged puke tube would also drip..
Is there any oily residue Inside the air box or on air filter?
get a can or two of carb spray and clean off outside, than you may be able to pinpoint the leak area..
My 87 bowl gasket seeps fuel staining lower part of carb, which I spray down once or twice a year..
PS some sprays will react with clear coat on engine case causing it to crinkle and lift..
96 VS800 Intruder (sold 2018 ), 87 CMX250C Rebel,
79 CB400 Hawk (sold 93), 75 CB350 (sold 83), 71 CB350 (stolen 74)
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