In my experience things that are stuck on tend not to stay stuck on for long - some exceptions like interior mirrors on modern cars but on the whole I find "sticking things on" as an unreliable option. But good luck - don't let me put you off.
If you happen to have a tow bar with the associated electrics then rigging up an extension lead to your new light should be easy enough. If you don't have a tow bar etc then perhaps this is a good moment to consider that too?
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