End of Valois Dynasty in 1515?

If Francis I of France were to die, either before Louis XII’s death or immediately afterwards, who would become the new French heir/king? As far as I can tell, Francis was the only remaining male Valois heir capable of inheriting the throne. Would France be inherited by a foreign dynasty?

I am also intrigued if this will spark a civil war or even possibly see Henry VIII, for his vanity, claim the French Throne through his Great-grandmother Catherine Valois. An interesting side effect would be that this would surely lead to Brittany becoming semi-detached from France rather than absorbed like OTL. This might even lead to Claude of Brittany marrying Charles of Austria like her mother of Anne of Brittany wanted.

What are the other ramifications that are likely to arise by the end of Valois?
 
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