Running for 10min and then not again for an hour is not an expected symptom of a gummed up carb.
More like a fuel pump that quits pumping once it gets heat soaked. Or similar condition with the spark coil/stator/ control board.
Until you know whether it’s missing fuel or spark when it dies, it’s just speculation.
Run it til it dies, then pull gas line off carb immediately and try priming. If no noise or no gas then likely fuel pump. Can also see if the float bowl is low/empty right after it dies.
If you got fuel then do the same and check for spark.
Easiest to plug-in a spare spark plug and check ( ground plug to engine)
You’ll know a lot more about what is wrong for $0 and less than an hour of your time.
The you can diagnose why it’s not gettting spark or fuel.