Thanks everyone for your help so far. Here's what I tried tonight:
I moved the solar CT clamp up to the green circle as suggested. This resulted in a house load reading of 0 kW (even though several things were running in the house), presumably because in that position the clamp is reading the power generated by the solar (it was night time, so nothing). This was the original issue we had with the CT clamp, it was reading the solar generation as house load and causing issues with fast battery discharge.
I then moved the solar CT clamp to the neutral cable after turning it around. I also kept it as far away from the EV clamp as possible. This resulted in a correct house load reading (same as before). However, when I switched the EV charger on, it ramped up to 7 kW and then cut out. I noticed that it did charge for about 20 seconds longer than with the solar clamp next to the EV clamp on live, but eventually cut out.
Is there the option to move the EV clamp somewhere else instead, and if so, to which position? It seems to me that the EV clamp has a less crucial role to play in all this (the EV charger just needs to switch on and stay on), whereas the solar CT clamp is crucial for the functionality of the entire renewable system.
I really appreciate this help guys! If you have any other ideas, I'd love to hear them!