Missing Carb part?

Update for any future readers.

I found the problem. After trying the suggestions here with no luck, I ended up removing the fuel bowl and accelerator pump diaphragm... And found out that I never installed the orange rubber flap style check valve into the accelerator pump passage. My original one had a built in ball check and I didn't think anything of it before installing the new fuel bowl. It's running great now that the accelerator pump is functioning...

Anyways! Thanks everyone for your time and suggestions! I appreciate it!