What do you mean, protective device? It goes into a BG Consumer Unit. It is fused at the house end and on an RCBO.4mm is typically good for 32A but the cable length and installation method needs to be considered.
What protective device do you have on the house-end of the SWA? That’s what protects the 4mm SWA, regardless of what you fit in the Garden Room.
Your electrician may decide you need a larger earth conductor regardless.
It’s good you’re getting it inspected and tested
Edit: oh you said house-end; missed that bit. It is wired into the house CU on an RCBO. It is an existing circuit that was already there; I've just uprated it from 2mm to 4mm as it was cheaper. I have another thread on the electrics
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