depends how much of the regs you want to stick to.
If it was my shed at the bottom of the garden Id be pretty blase about it 🙂
dont bother with vitreous enamal flue, its only aesthetic.
Twin wall is required when passing through wall or ceiling, and it’s handy when outside to maintain the heat in the flue gasses and aid drawing. But it’s not necc. And indeed its pref to have single wall as it comes out of the burner anyway.
In which case, some cast iron down pipe straight out of the roof would suffice! 🙂
but you are supposed to have clear stand off around the flue as it passes through the roof. You then need storm collars and baffles to prevent drafts and leaks around the void where the flue goes through the roof.
Id use some steel straps as brackets etcs and then probably some rockwool insulation, but thats probably all very wrong so dont ask me.