Repairs Lawn Boy Silver Series 10304 Overheating. Help!

I'm new to the forum and have an issue with my lawn boy over heating. I've checked the brake & exhaust. Also put on a new coil. All is good there. I've had the mower since 1997 and it's always ran great. I rebuilt the carb a few years ago. Mower starts right up and runs for about 10 minutes then starts running rough and quits. After a few minutes to cool it starts right up again. Can someone help?

Thanks, Tim.