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3 core + earth is standard for hallway lighting. The problem is only 1 of the 2 line conductors will be carrying 240v (the 3rd conductor will be neutral). You can't connect the 2 line conductors together because that would stop the 2 way switching from working. So whichever line conductor you connect to for your outside light will be switched on and off by the hallway switches.
It's this kind of thing that keeps sucking you back into the problem thinking it can be fixed :)
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You could replace the whole mess with wireless switches. Turn the switch on permanently and put a wireless receiver where your light is. The switch can be anywhere since it doesn't need wires or power.
https://www.tlc-direct.co.uk/Main_Index/Quinetic/index.html#Quinetic_Controllers
Cheers, I suspected this might be the case! Time to rethink.