I know it’s boring, and bureaucratic, but anyone fitting a wood burner – remember you either need to use an installer registered on a competent persons scheme (most commonly HETAS), or submit a Building Regulations application for the work to be legal.
Also, you generally need permanently open combustion vent, & C0 detector!
FWIW, I’m a building control surveyor, and do apply the 50mm, have never heard the 3x flue thing, but would recommend using a fireproof board (masterboard etc) if the appliance and/or flue are very lost to a timber lintel over mantle piece, or anything else remotely combustible.
Have seen skirting boards charred and plasterboard start to crumble/fail from appliances too close to the wall, be careful!
*goes back to actual work*