After you have checked the other suggested issues, I wonder if your battery may be beginning to fail. Sometimes, the resistance can be higher in a hot battery; one that is being charged by the generator. Failure could be caused by either aging of the battery, or an improper adjustment of the voltage regulator.
I haven't had this problem with Cub Cadets, but found it to be a regular problem with the twelve volt system in my 1957 Chevrolet.
This is just a thought, as it sounds as if it starts fine when cold, but is dead when warm and working.
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