AH challenge: The UK an ally of Napoleon's

The challenge is, with a POD after Napoleon becomes First Consul, and without an invasion of Britain, that Napoleonic France and the UK have a military alliance at some point for a non-negligible period of time, and not just on paper.
 
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The only way I can see this happening is if there's a bigger enemy to deal with, and if Napoleon retreats from the Strait of Dover.
 
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