I only own the game on Epic Games, so I couldn't test it with Steam. Running it using Bottles worked out of the box for me (using the Bottles Gaming environment) except for the issues described. Also tried it using Wine or Soda and tweaking some values, but did not make any difference for me.

Some parts of my Bottles config for reproducing / comparison with your system:

DXVK: dxvk-1.10.2
NVAPI: dxvk-nvapi-v0.5.4
Runner: GE-Proton7-27
VKD3D: vkd3d-proton-2.6-1-5b73139
Windows: win10

Installed_Dependencies:
- d3dx9
- msls31
- arial32
- times32
- courie32
- d3dcompiler_43
- d3dcompiler_47
- riched20
- andale32
- arialb32
- comic32
- georgi32
- impact32
- tahoma32
- trebuc32
- verdan32
- webdin32
- allfonts
- vcredist2015

Parameters:
    custom_dpi: 96
    discrete_gpu: true
    dxvk: true
    dxvk_hud: false
    dxvk_nvapi: false
    fixme_logs: false
    fsr: false
    fsr_level: 5
    fullscreen_capture: false
    gamemode: false
    gamescope: false
    gamescope_borderless: false
    gamescope_fps: 0
    gamescope_fps_no_focus: 0
    gamescope_fullscreen: true
    gamescope_game_height: 0
    gamescope_game_width: 0
    gamescope_scaling: false
    gamescope_window_height: 0
    gamescope_window_width: 0
    latencyflex: false
    mangohud: true
    obsvkc: false
    pulseaudio_latency: true
    renderer: vulkan
    sync: esync
    take_focus: false
    use_runtime: true
    use_steam_runtime: false
    virtual_desktop: false
    virtual_desktop_res: 1280x720
    vkbasalt: true
    vkd3d: true