There is an unintentional input when entering the Play Mode after a save when using 3Dconnexion Driver

Unity: Input

2020.3.X

Reproduction steps:
1. Open the user's attached project
2. Enter play mode

Expected result: No input is given
Actual result: Input is given from the mouse automatically

Reproducible with: 2020.3.29f1

Could not test with: 2019.4.36f1, 2020.3.31f1, 2021.2.15f1, 2022.1.0b11, 2022.2.0a7 (I don't have access to SpaceMouse Wireless mouse)