I just saw you mention furnace, you don’t need or want that.
There is also nothing wrong with relighting.
I’m of the mindset to light the tobacco as little as possible, to only take a few sips. Then I let it go out, I let the pipe cool, then I light gently and as little as possible again, this is how I smoke.
For me personally, doing it like this, I get the richest flavors out of the tabac.
At some point, to much fire and heat destroys the flavor.
P.S. Your Pipe Style is yours, don’t think about the right or wrong way, just experiment until you find your style, and you will over time.