1. Make sure its getting enough gas from the tank. Open the drain on bottom of the carb, it should run a reasonable stream.
2. If you don't get a good flow at the carb, the sedament bowl is probably plugged. Check the glass to see if there is water in the bowl. If there is water in the bowl, the screen at the outlet won't let water through and you need to remove the bowl and dump the water. If there isn't any signs of water, remove the glass sedament bowl ( you probably will need a new gasket ). Gas should run out with a good flow. If not, then inlet to the sedament bolw is plugged ( rust or straw or whatever ). Some bowls have a screen at the inlet, some do not ( I don't remember what AC has ). probably have to remove the bowl to check inlet if it seems plugged. If the bowl has a good stream when the glass is removed, the screen for the sedament bowl outlet is plugged. This screen is above the cork gasket for the glass bowl. To check this, it is necessary to remove the screen as the screen is a very tight mesh and you really need to remove it to see if its plugged. The brass screens corrode and get gooed up to where they don't let gas flow out. If the screen is a cloth type, replace it with a brass one as the cloth ones are way to fine and cause endless grief particulary if there is any moisture in the system.
3. Another place to look is at the carb gasket. It has ( or should have ) a hole in it to allow the passage that vents the float chamber to outside air to remain open. If this passage is blocked the float chamber is at the same vaccum as the intake manifold so not enough gas comes out of the main jet. We did this once when my dad made a home made gasket. It ran exactly as you describe. Also took a while to figure it out.
My opinion only, Take care and enjoy the CA