Tecumseh Carburetor #640129 Continuously Flooding

I have rebuilt a Tecumseh carburetor #640129 completely due to its continuous flooding. I replaced all of the gaskets, needle seat, needle, needle clip, bowl gasket, and the emulsion tube and o-rings. The brass float is good as there isn't any gasoline in it.
I have successfully tested the float system by connecting the carburetor to the gas line and lowered the float.
The carburetor still floods (gasoline comes out of the air intake side after the first pull. Note: I carefully attached the bowl exactly the way that Tecumseh instructs. The same applies to the needle/needle clip - open end of clip towards the air intake.
I have tried everything that I know of to remedy this problem to no avail. Can someone chime in that knows where the problem lies and how to remedy it? I would greatly appreciate it!
Matt

Yes, I installed the seat with the 'flat side' facing towards the needle. The grooved side is against the bottom of the hole. And the seat is firmly seated.
I tested the float system by placing a rubber band around the float ring and then attaching the gas line to the carb. I then released the rubber band and moved the float ring up and down to verify that gasoline was indeed flowing in and stopping according to where the ring was at.
I'm at a total loss as to what can be causing the flooding issue.