Three core wire is not a must, u can easily get single 4sqmm wires and use three colored wires in red/black/green and braid it properly. For aesthetics you can use teflon covering with heat shrinking tubes.
Where can I get this teflon covering with heat shrinking tubes? How do I apply heat?
PS: So you saying a 4sqmm wire will not fit into the connector of a 6A socket?
Regards