Floods while mowing-remove air filter -gas running out air intake.

You're positively sure it ran out of fuel<?>. If it merely ran out of fuel then likely the fuel pump has vapor locked. If you didn't FILL the fuel tank, do so and try again (the trick here is to get the fuel level in tank higher than the fuel pump). Attempt start, if still no run then try starting fluid.

To be successful using starting fluid, remove the air filter to expose the carburetor intake. Spray a 1 second burst of starting fluid directly into the carburetor throat (you don't have to reinstall the air filter, yet). Promptly crank engine.

If engine cranks but no run, then either no spark or engine is flooded. If it runs for a couple seconds and dies, then fuel from tank is still not reaching carburetor. Repeat attempt with starter fluid. Comment here with results for further assistance if needed.

Be sure to reinstall air filter before returning to mowing.

Carburetor most likely needs rebuilding. Floats probably stuck.

Hey Deav,
If you have fuel injection, I think you do have a "tip-over" or angle switch..(they will keep running upside down)..IF NOT - Sounds like you may have filled the engine with gas and possibly flooded the air filter also.....- when you tip it over, there is nothing to stop the fuel from flowing through the carburetor vent systems and into the intake tract (engine and air filter).. when this happens it floods so bad you have to remove the air filter and spark plug.. then spin the motor over.. make sure the air filter is clean and dry..
... Install a new spark plug..

Sounds like it's a fuel issue.
After the Carb rebuild, you put gas in the tank and started it up immediately. and ran it only 30 seconds.

If you look at the gas tank now, is it empty? Is there gas flowing out by the air filter? You sounds mechanically smart, just wondering if you messed up something with the carb rebuild and gas is flooding up into the carb. Check the Oil again, is it overfull from gas getting into the oil?

The only thing that stops gas going into the carb is the needle valve and seat in the bowl of the carb.
Doing the same thing with 2 different carbs sounds like trash in the gas tank flowed into the carb and is holding the needle valve off the seat allowing gas to flow all the time.
Clean the tank. Clean the trash out of the needle valve/seat. Add a small engine fuel filter between the tank and carb.
You should be good to go.

Hi, run a number drill through the main jet. Even though you have carby cleaned it a thin layer of residue will remain on the walls of the jet. The problem you have is a lean misfire. Regards Phil.

have your fuel pressure tested. i think it should be around 52- 56 psi. the car is not flooding but is running out of fuel, With this info i suspect a bad fuel pump

NOT A EXPERT JUST TRYING TO HELP,,,SOUNDS LIKE YOU NEED TO CLEAN CARB. OR REBUILD IT,,, HOPE THIS HELP

it would be a lot easier if you take the cover off the top of lawn mower.
find the carb, it usually sits near gas tank, there should be a screw sticking out of it. tighten until it runs normal. also adjust the air intake/ throttle arm on carb

sounds like a timing issue