Depends whether you have an condensing boiler, how old is it? Condensate pipes are usually plastic as they’re not high pressure and the contents just drips out under gravity. Most combi boilers also have a pressure blow off valve which connects to a 15mm copper pipe. As the name implies if the pressure of the water in the boiler gets too high it shoots out of the valve and off through the pipe instead of the boiler going bang.
You can terminate the condensate into internal waste plumbing, which is handy as it stops it freezing. The blow off valve pipe definitely doesn’t want to be terminated inside.