Clog exhaust pipe. Most likely the vent is clogged by debris or its opening is obstructed. Removing the muffler will increase the exhaust air flow while letting the engine back pressure still being good. Air pressure building up in poorly vented pipes can cause gurgling noises in your pipes. By the time the cat could clog with mud from that direction the engine would be history. This in turns creates even higher exhaust gas temperatures which further melts and clogs the cats. Although this wont work with thick build-up caused clogs.
Run the snake downward until you find the clog. Be careful not to put your hand near the exhaust pipe as it will be very hot. If you block the exhaust gases from getting out through the tailpipe there will be no room for fresh air to get into the combustion chambers and the engine wont be able to run. Throughout the year your vent pipe can be clogged by animal nests leaves and other outdoor debris. Usually the vent opening can be found at the roof or at an exterior wall.
Going the other way would involve the mud travelling through the engine. For mud to clog it it would need to travel up the exhaust pipe through the rear silencer along the centre pipe and through the central expansion box before reaching the cat.
To unclog your dryer vent it depends on what type of clog you have. After cooling the vent. Clogs can also form at the 90 degree or T joint in your pipes where the pipe from your sink drain or toilet joins your main sewer line inside your walls. However you can see whether the problem is actually caused by a clogged muffler or a loose connection in the exhaust pipe. Or if the car is not running when you install the potato the car will start up and run briefly and then stall. There can be multiple causes of clogs in the vents and pipes. In the process the hot combustion gases cool to near ambient temperatures.