Guffer, if I may, I am going to suggest a different approach but will address a possible ‘cleaning’ method at the end for your pickup tube.
As you are aware, troubleshooting is a process of elimination. If not this, then go after that based on a logical sequence and tests along the way. While I am not there and only can read what you post, it seems to me the logical sequence is being missed. Let me explain.
You suspected Carb issue but only to find out was dry. While you subsequently inspected (but not tested) the upstream components, you found some crud around the pickup tube and assume that is the issue. While it may be the root cause, the logical sequence of continuing to backtrack and test from the carb was not fully done. For example: while the fuel pump visually inspected OK, does it really work? There are check valves in that pump that may be faulty and would not know with a visual only. So, to help avoid frustration, suggest continuing to follow the issue upstream one step at a time. Here is what I mean > upstream from your carb are the following:
- Note I am not sure if all these exist but outlining them regardless.
- Fine Mesh Filter in the carb body at the inlet of the gas line > if plugged it can starve the carb
- The Fuel Line to the separator > while not likely, a rubber line can separate and collapse internally blocking flow
- The Separator > your visual of this validates its good, but could always bypass it to be sure
- Fuel Pump > internal check values that can fail, diaphragm can be ripped
- More Fuel Line
- Anti-Siphon Valve > this can get stuck closed precluding sucking fuel
- The Tank Pick Up Tube > as you have already seen, some gunk on the end of it can plug it up.
Here is a suggestion that could be easy to do now you have access to the tank > apply a new rubber line to the inlet of the pump and drop the other end in the tank and try to start / run. Also suggest having some way to keep the hose in place in the tank access port and the fumes down. It may take more cranking to get out all the air of the line & fill the carb. If it runs (and stays running) then you know fuel pump is good and all the upstream components and it’s something still downstream like the Anti-Siphon Valve or that pickup tube.
To determine which, assuming you can, replace the Anti-Siphon Valve with an appropriate adaptor and retest or simply replace it, they are not that expensive.
Finally, if still need or want to get rid of the junk at the end of the pickup tube (assuming it cannot be removed), with the Anti-Siphon Valve removed and an appropriate adaptor in its place and a hose connected to it, use very low air pressure (3 to 5 PSI) to ‘blast’ away the debris. You may be able to suck up thru the access port any large chunks floating around with something like a turkey baster.