Camera in 3D Scene starts spinning after moving a mouse when player is built for WebGL

Steps to reproduce:

1.  Open the attached "StandartAssetsWebGL.zip" project
2. in File > Build Settings make sure that WebGL Platform is selected
3. make sure that the "CharacterFirstPerson" Scene is added in Scenes in Build
4. Build and Run
5. Start moving with W A S D keys
6. Move the mouse to the side to navigate the camera

Expected: The camera moves smoothly following the mouse's direction
Actual: The camera starts shaking when moving the mouse

Reproducible with: 2020.3.40f1, 2021.3.11f1, 2022.1.16f1, 2022.2.0b8, 2023.1.0a11

Notes:

• Not reproducible with MacOS (M1 Max, version 12.4)
• Reproducible with: Windows 10 (Intel Xeon W-2145 @ 3.70 GHz, GeForce GTX 1080)
• Reproducible with browsers: Edge, Chrome, Firefox, Firefox Nightly