ᐅ Laying the floor before plastering / Properly covering surfaces

Good morning everyone,
First of all, thank you for welcoming me, and I hope to receive your constructive support 🙂
We are about to move into a newly built house, which will be handed over in Q2. I have found a relatively affordable plastering company.
Since it is a new housing development, unfortunately two others before me have already hired this company. Now, the company (a one-person operation) needs about 3-4 weeks for the job. This means I would have to wait almost 2 months. That is obviously frustrating since I can’t really do much without finished walls.

Now I’m wondering if it might be possible to lay the floors in advance and cover them properly.
The internet suggests using thicker milk carton paper (gray plastic sheeting), for example. Unfortunately, I have found very little experience regarding this. Otherwise, I could consider thick fleece or cardboard. My thinking is that the worker only applies relatively thin layers, so it shouldn’t cause a huge mess. Unfortunately, finding an alternative company is quite difficult. All other offers were significantly (at least 50%) more expensive. I would appreciate hearing about your experiences.
Best regards, S4z4