Engine died while cutting, now won't restart

I have a Kawasaki FB460v on an old Ferris mower. It's one of the ones that has a pull-cord start, not electric.

I was cutting our grass this morning, and suddenly it putt-putted and died. Now it won't run for more than a few seconds every 10 minutes or so. Any ideas why?

20170622_142916.jpg

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Engine died while cutting, now won't restart