First it isn't full of yarn is it?
Yes the carburetor do clog up but are your sure it carb related? An engine that suddenly stops can be caused by other problems too. Things like sheared flywheel key, bad spark plug, failed ignition coil are among some things to check for. Will the engine start on fuel induced into the cylinder? This will point you in the right direction.
I need to disagree about those carburetors being hard to repair; it is a simple carburetor. Have never replaced one just because it was dirty. If it is badly corroded from water yes then replace it.
Also posting the engine model and spec would make you get the right carburetor as for me I not that familiar all of the Tecumseh engines as they are pretty well all gone from the market here. I might see one once in a year.
