Cursor is frozen in the Game view when the "Input System Package (New)" input handling is used and "UnityEngine.CursorMode" is set to "ForceSoftware"

Reproduction steps:
1. Open the attached “repro_IN-41170.zip“ project
2. Check that in the “Project Settings” -> “Player” -> “Other Settings” -> “Configuration” -> “Active Input Handling”, the dropdown selection is set to “Input System Package (New)”
3. Enter the Play Mode
4. Attempt to move the cursor

Expected result: The cursor moves freely
Actual result: The cursor is frozen and doesn't correspond

Reproducible with: 1.0.1 (2020.3.48f1), 1.5.1 (2020.3.48f1, 2021.3.26f1, 2022.2.21f1, 2023.1.0b18, 2023.2.0a16)
Couldn't test with: 0.1.2-preview - 1.0.0 (2020.3.48f1) - Errors due to downgrading

Note: Reproducible in builds