When I use the iPhone on the MagSafe charger in Standby mode at night the clock turns of in the middle of the night

I love the new standby mode since I can now use my iPhone as a clock to see the time in the dark. I'm using it on a MagSafe dock. When I turn off the light in the room, the clock turns red. Great!

If I wake up in the middle of the night, I want to see the time, but then the display is off. I have to go to the iPhone and touch it to enable it again. I don't want that, I want it to be on the entire night.

Good to know: I also have the iPhone on “sleep” focus mode, so I don't wake up from messages.

I've tried a lot, like "Settings -> Stand-by -> Screen -> Turn screen off -> never".

Nothing seems to keep the screen alive. Can anyone help me?