I'd just like to know for sure how to do it safely and correctly.
First check the cable you intend to use is designed for 230 volt and is designed for use as a FLEXIBLE cable.
Then contact the manufacturers of the screened cable you intend to use and ask them for their advice as to how to connect their cable to a 230 volt domestic plug. And take note of their PROFESSIONAL advice.
You must NOT take the screen into the 13 amp plug. So you will have to connect the screen to a seperate tail OUTSIDE the plug and then bring that tail into the plug along side the 3 cores (live,neutral and earth). Work out how the cable clamp will secure those 4 wires safely. then consider if two wires of different type will remain secure in the earth pin termination that is designed for a SINGLE wire.
Cable clamps in 13 amp plugs are designed to clamp ONE cable that has an overall sheath over the 2 or 3 individually insulated conductors. They will NOT safely clamp two cables of different sizes.
There are INDUSTRIAL plugs designed to terminate screened cable but these do not fit into domestic 13 amp sockets.