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The self cleaning cycle gets to about 875* F and if there is any lack of air flow, it will cause the thermal fuse to open, interrupting power to all of the heating elements. I suspect this is what has happened with your oven. The thermal fuse is mounted by the cooling fan and is shown as number 28 in the diagram at the link below.
I would make sure they clean the cooling fan or replace it and, of course, replace the thermal fuse. The fuse is part number(###) ###-####and the fan is(###) ###-#### ***** would suggest you either order the fuse yourself or call them to have them bring one or you will be waiting for it to be ordered,
The link below is to the part you will need from a highly recommended company rated A+ with the Better Business Bureau. They offer a 100% money back guarantee, EVEN ON INSTALLED ELECTRICAL PARTS, for an entire year! They are the only company to allow returns on installed parts for a refund and offer a FULL ONE YEAR WARRANTY!
As for the F6 E0 error, that is a known issue on these and is caused by connection issues, in most cases. See attached page.
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