you can move the smoke over, such that the chimney needs no roof.
what you do for that is put roof tiles above the fire, the 45 degree ones (important) and it will shift the smoke towards the top of the roof tile, over one. Then you can go straight up and have no roof, because the fire isn't under the rain anymore. You can use this to condense a 2 tile smoke from hearth to 1 tile as well, but it may need a little TLC to avoid smokeout.

also: the oven burns without anything inside it and is not put out by rain. you can do it this way instead, but a real home is gonna need a hearth/fire to cook with at some point and hearth gives the wanted comfort too.

many (most??) online builds used cheating to get there, from rotation of parts that isn't allowed to integrity changes and more. Its not always easy to tell.

Is your goal just a look? Or a working home?