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Parental controls?
(lemm.ee)
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Linux is a family of open source Unix-like operating systems based on the Linux kernel, an operating system kernel first released on September 17, 1991 by Linus Torvalds. Linux is typically packaged in a Linux distribution (or distro for short).
Distributions include the Linux kernel and supporting system software and libraries, many of which are provided by the GNU Project. Many Linux distributions use the word "Linux" in their name, but the Free Software Foundation uses the name GNU/Linux to emphasize the importance of GNU software, causing some controversy.
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I haven't researched this (I don't have kids), but out of curiosity, what type of mobile device is your daughter using? Also, I think PiHole is a solid recommendation like others recommend.
Otherwise, from a quick Google, I don't know of anything that can integrate both Linux PC and mobile phone screen time. Honestly, this sounds like a fun project I could implement someday if I ever had the will. However, for right now, in terms of screen time all I can think of is reading system logs (perhaps via SSH) to manually analyze your daughter's screen time.
She's using a Samsung android phone with Family Link, it's meh but does it's job. I'm looking into limiting screen time more than content restrictions, and having the total screen time across all devices in a centralised service is very much what I'm looking for.