I inherited a 2004 BN125 that now leaks gas when started from tube that is located next to battery overflow tube

Question edited for clarity.
Question moved from motorcycles to ATV model category.

Turning over has nothing to do with the carburetor! Your battery is flat. It will need charging.

If the carb is leaking, it is because the float is set wrong or the float valve needle isn't seating properly.

Engines only need three things to run.

A supply of clean fresh fuel (not sitting a year)
A Spark at the right time.
Compression.

You say you cleaned the carb **in** carb cleaner, as opposed to *with* carb cleaner. Did you strip it down, check the float for holes, clean the jets and needles?

what are we talking about here car ? machine ?

If you are saying the fuel is leaking out of the carb overflow tube it would likley be that the float and/or needle and seat are stuck or defective

the orifice tube is located on the liquid line which is located next to the overflow tank and air filter housing next to the right front fender

needle not attached to float properly or a hair or the like not allowing the needle to close off properly

your float is stuck take carburator off and clean wiggle float and it shouldnt leak gas anymore

The overflow tube coming out behind the swingarm? If that is where it is coming from sounds like your float in one of the carbs could be stuck.

The usual culprit is a blocked vent tube. Verify it's open. The usual indicator is either a pressure release when you open the gas cap, or a vacuum "sucking" noise when opening it first thing in the morning. On a carb equipped bike, the carb overflow lines will leak, but in a fuel injected bike like yours, it'll be out the overflow vent. The next time it begins leaking, open the gas cap. It should stop immediately as pressure inside is released. Good luck.