I am sorry to write it, but in my opinion your construction is wrong.
I think, you should keep the wood how it is and use it for a new roof construction.
You should dig a trench into the hill, that means 90 degrees rotated to your direction now.
In the end you make a chimney. Open or better a stove with tube made from stones or better a metal container like an old gas bottle or an ammunition box or whatever you find.
You put the logs over the trench, left and right placed on logs in 90 degrees orientation, some soft twigs on it, and a garden-pool liner plastic foil on top of it.
The roof has to go down slightly diagonal to the valley and to one side of the shelter, ending with the lowest corner in a draining trench towards the valley.
The foil has to go at the ends of the logs down, through a trench and up. So you get rainwater gutters both sides, but the water will not drop you in the neck from the roof at the entrance, because it's diagonal.
5cm of soil and some leaves on the roof.
No ropes in the construction, only pegs to secure it! (Your ropes will degrade in a couple of weeks.)
The smoke of the fire inside can go along the roof upwards.
The door you should construct far lighter, using rope of course. And cover it with a piece of camo net. It should be vertical, that it doesn't become a trap for hikers.
If somebody dies, because he broke his leg in such a trap, you will be sheltered by the state for a very long time!
That's the reason, why the whole construction has to be destroyed after a couple of years or rebuild.
Like that it would work technically.
Another point is what the owner of the forest thinks about it. Probably it depends of the area.
If I would find in my forest somebody with a tarp or a normal survival shelter, I would employ him to clean up my forest a bit by burning dead wood or constructing something in a corner where it doesn't disturb me.
If I would find somebody in my forest digging trenches, like you did it or I told you about the construction, I kindly would ask him to bring it back in the state how it was before, and never enter my forest any more.
Surely it's different in Siberia.