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You're worried about not lining the trim up but you can live with the electrical socket!
You could cut it into sections and line them up then fill/sand and paint them. If you can find the studs you could use a piece of wood to hold the trim onto the wall. Tiny plugs and screws countersunk. Grip fix with gaffer or masking tape works sometimes. The gaffer tape will likely take the paint off though.
I can't do anything about the socket (myself) and I'm not willing to get into what it would take to move it at the moment.
The wall is solid blockwork that's been plastered. I could drill through the trim, and put plugs in the wall, however I was hoping to be lazier than that.
What laser levels are people using?
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The older version of this, survives being in the toolbox, cheap and a reliable brand. Can be had for less if you can be bothered to shop around.
https://www.screwfix.com/p/stanley-cubix-stht77498-1-red-self-levelling-cross-line-laser-level/256FG
You're worried about not lining the trim up but you can live with the electrical socket!
You could cut it into sections and line them up then fill/sand and paint them. If you can find the studs you could use a piece of wood to hold the trim onto the wall. Tiny plugs and screws countersunk. Grip fix with gaffer or masking tape works sometimes. The gaffer tape will likely take the paint off though.