Thank you for the log files!
1. The client log contains a report of the GPU-related crash (the graphical device was disconnected/crashed). This is often related to the driver itself and the GPU's stability. Please ensure that it's not overheating and have no unstable overclock. You may also rollback to the previous WHQL version of the GPU driver.
2. One of the dotnet-related crashdumps reports the source of the crash was inside Windows API related to the processing (reading) of the text input.
3. Second of the dotnet-related crashdumps reports the source of the crash as a memory access violation is msftedit.dll which is a part of Windows.
However, both dotnet-related crashdumps are fairly old (from mid-March) so they do not represent the source of the crashes that happened recently. But such issues are often indicating potential hardware issues with RAM—it will not harm to run Windows memory diagnostics or MemTest to ensure that your RAM has no issues due to timings/clock speed/overheating.
So maybe the private server is corrupt?
No, it should have no effect on the client. Perhaps the client is using some mods while playing on private server? The client is automatically enabling the necessary mods for the server if these mods are "client-server" and present in the client Mods folder ("<your Documents>/AtomicTorchStudio/CryoFall/Mods").
To verify the new crashes please delete all of the log files from "<your Documents>/AtomicTorchStudio/CryoFall/Logs" and run the game client until it crashes. Please do it two times so we have some data in the logs to analyze. The logs will contain all the data about the activate mods on the client.
Also, if the issue is 100% reproducible then probably there is something odd going on with rendering. Please try running the game in the windowed mode (press F11 to toggle the screen mode or use in-game video option), in a small window, and see whether the issue is still reproducible.
Regards!