The equipment didn't burn the wires, the setup did. Im just gonna spit some facts for some to keep in mind as you go.
The issue with burnt wires points to too small of wire gauge for the power supply or bad thermal breaker. While less likely because new electronic breakers function differently, overheating wire can still happen.
Oversized wire stays cooler per amp and is mostly a good thing for power delivery, maybe not SOME signal delivery (seldom for us) Splices compound the heat issue if the wire choice is boarderline for amps as the splices do add a bit of resistance.
Longer wires need to be fatter than shorter wires carrying x amps
Of interest with joiners, splices, and contacts as a general subject, more pressure causes there to be MUCH less resistance to electric flow between surfaces. (why weak brush springs DO effect running too)
The transformers breakers are designed to protect the transformer, not the wires/trains.(they do protect somewhat, but not why they are there...thats your job)
Choose wire to exceed the max amp a transformer puts out and or fuse the wire to protect the wire. Especially if it is smaller wire than the amps available.
On tbe longest one I run a Z & KW, 10g and 12g track bus, 25ft; drops are 12g-14g. Lights and acc get a fused 14g bus.
Because there are two transformers sharing the common rail, all common busses are TWO strands of 10g for common. Can't "cheat" and loose half its its common ability misgaugeing that as ok either 😉