Input.mousePosition flickers in the Game view while in the Play mode when playing in Fullscreen on the second monitor

Reproduction steps:

1. Open the “EditorFullscreenMousePositionBug“ project
2. Open the “EditorFullscreenBug” scene
3. In the Game view Control Bar press on the “Play in Window” button
4. Select “Fullscreen on..” monitor which doesn’t have the Editor window
5. Enter the Play Mode
6. Move the cursor around the Game view

Expected result: Pink square stays on the mouse cursor
Actual result: Pink square flickers and snaps between two places while moving the mouse cursor

Reproducible with: 2022.1.23f1, 2022.2.0b16, 2023.1.0a20
Could not test: 2020.3.42f1, 2021.3.14f1 (fullscreen on second screen feature is not introduced)

Reproduced on: Windows 10

Note: Initial user report contained a requirement to have two different monitors with different resolutions, however, this issue reproduces regardless of having different resolutions set between monitors.