Unity doesn't automatically save the scene when entering the Play Mode

How to reproduce:
1. Create a new Unity project
2. Enter the Play Mode
3. Observe the processes after you press the Play button

Expected result: The scene is saved automatically
Actual result: The scene is not automatically saved

Reproducible with: 2020.3.48f1, 2021.3.25f1, 2022.2.20f1, 2023.1.0b16, 2023.2.0a16

Reproducible on: Windows 11 Pro