My push mower is broken

It's a Craftsman EZ^3 part number 917.376350
The carburetor needs a clean and/or rebuild, but which parts to order?
The engine is a Tecumseh, but which model? It's Sears model 143.976500 if that helps.
One site claims it's a VLV65-502506B (I think it's right).
I can't find any carb kits that look remotely correct. I guess I'll go take it apart and see what I can salvage.