Automatically connect or disconnect the built-in display based on the current group

[waydabber]

Discussed in #3794

^{Originally posted by liuzhcn December 15, 2024}
I have only one external monitor in my office, which I use together with the built-in display. However, at home, I have two external monitors, and the built-in display is no longer used. I have created two groups: ‘office’ and ‘home’. I hope that when the laptop connects to two external monitors at home (via a Thunderbolt 3 dock), it will automatically turn off the built-in display, while in the office, the built-in display remains on. Currently, it seems impossible to achieve this:
1. If the built-in display is set to turn off when an external monitor is connected, the built-in display will be turned off in both scenarios.
2. If the display is set to automatically turn off, it will remain in its last state (if off, it stays off).
3. If I manually turn it off, the situation is the same as point 2.