Issue with --turn-screen-off command

_Please read the [prerequisites] to run scrcpy._

[prerequisites]: https://github.com/Genymobile/scrcpy#prerequisites

_Also read the [FAQ] and check if your [issue][issues] already exists._

[FAQ]: https://github.com/Genymobile/scrcpy/blob/master/FAQ.md
[issues]: https://github.com/Genymobile/scrcpy/issues

## Environment

- **OS:** Windows
- **Scrcpy version:** 3.1
- **Installation method:** Using git clone command
- **Device model:** Samsung Galaxy M31 SM-M315F/DS
- **Android version:** 12

## Describe the bug

When I start scrcpy using the --turn-screen-off command while my phone is unlocked, the phone's screen turns off as expected, and I can see the display on my laptop. However, if I physically lock my phone using the power button the screen is still turned off (that's not an issue), but if I press the power button again to wake it, the phone screen lights up and shows the lock screen. This also happens in the following scenarios:

1. If the phone is already locked, then unlocked, and locked again, pressing the power button turns the screen on.

2. If I manually press the power button after locking the phone, the screen turns on unexpectedly.

Interestingly, if I lock my phone using scrcpy (my phone has a feature where double-tapping the screen turns it off), and then again wake it again using scrcpy by right clicking the screen does not turn on the screen.

Expected Behavior: The phone screen should remain off when using --turn-screen-off mode, even if the power button is pressed.

Reproduce the behavior on Windows with scrcpy 3.1, a Samsung Galaxy M31 on Android 12, and the --turn-screen-off command, including the listed lock and wake scenarios. Trace the handling of screen-off mode and power-button wake behavior; done means the phone display remains off when the power button is pressed while the mode is active.

Written by the indexing model from the issue text.