Did you check the impulse line for leaks? Rare to fail on this model by design. I see you said you tested through the impulse line, not sure if you meant you used the end of the line itself. If you did, then the line is ok.
If you used too much air when cleaning the carb, you coulda blown out the nozzle check valve. That would cause the wet side to pull air in through the main nozzle instead of pulling up on the diaphragm and opening the needle. Kinda hard to check it, gotta knock the nozzle out to look.
Make sure your gaskets are on the carb correctly. The pump side gets the diaphragm against the carb with the gasket over it. The metering side gets the gasket to the carb with the diaphragm over it. If that’s wrong, things won’t work.
Fuel shooting out of the tank is normal and a good sign. Try to replace the line and filter with new oem pieces if you can. You may have to drill the tank outlet for the newer S shaped fuel line. The older straight lines are hard to find and a PITA to change filters on anyway. I generally drill the grommet hole bigger and add the new line.
Seals are simple, but if they aren’t bad, leave them alone. If you decide to change them, take a lot of pics and measure depth before you pull them out. It’s easiest to know one side in with a punch, make it go sideways, then grab it with a pick to pull it out.
The Chinese replacement carbs on eBay are pretty good for this saw. Many are made on the same Zama assembly lines as the oem. It’s a $20 diagnosis to try one. Sometimes carbs just go bad no matter what you try.
Sorry for the long winded response.