DD 13 and internet addiction

[pumpersnatch]

Dd aged 13 has a laptop that we rent from the school for homework etc.
She installed Minecraft in September and since then has played on it so much she's been made a Moderator.
She talks to other Moderators on something called Discord.
It's got out of control.
I now have to physically remove it at night as I caught her on it at 1am one night. So now I take it away an hour before bed.
She's always on it though. She turns down shopping trips or family gatherings to play. She goes into a furious temper if I restrict it. She's SO rude and disrespectful. Screaming and shouting to get it back, telling me there is nothing else to do etc.

The final straw came when I discovered she was talking to someone in private messaging that she didn't know. She refused to hand it over, ran into the bathroom, locked the door and deleted the messages !!!
I now have the laptop and she's only allowed to use it at the kitchen table to do homework.
But she is furious. Shouting, calling me names etc.

Yesterday the school phoned and said that they could see what she was doing on it and over the last week or so she has used vile language and said horrible things on there. After a chat with them they have sent me links about internet addiction and want me to deal with it.

Honestly I don't know what to do. I have removed the laptop apart from homework, uninstalled every app from her phone. She's SO angry with me and basically says it's abuse and what else should she do etc.
I feel like I've lost her.

She will calm down in time. There is a program called Cold Turkey that you can download that means you can shut down certain programs at certain times. Once she is allowed internet access again ( I think you should stop it all for a whilst bar school work done in front of you ) then you can use this to limit what she can access and for how long.
Its better you deal with it now, point out the laptop belongs to the school and they have contacted you about her behaviour on it. And don't worry its not child abuse to not give them internet access!
My DD15 still does not have technology in her room after 10pm. As for what else can she do, go on some walks with her, do things with her.

Cold turkey is the only way, no phone/laptop/iPad etc at all for 2 weeks, can the school support with homework sheets instead of online based learning?

If she has to use the laptop, sit with her at all times to keep her on task. Remove and hide as soon as she's done. Offer up other activities so she's not sitting around bored, shopping, movie, walks, whatever you can do to get her out of the house and obsessing. Like any addict she's going to find it extremely difficult at first

My ds, 13, is also massively addicted to gaming, it’s a nightmare. We were speaking to his friend’s parents last night and he is exactly the same.
This is what we do:
We can restrict internet access on his pc to certain times. It cuts off at 9.30 at night on school nights.
He has to do homework etc before he’s allowed on during the week.
No phones at the table.
He has a couple of activities like the gym and another group he’s doing on a Sunday to get him out of the house.
It’s really hard in the winter as although he likes to be outside too, it’s been too wet/cold recently. He likes being on the PC with his friends - he’s even made friends with boys in other areas of the UK who game regularly I’ve told him to be very careful about this though - thankfully most aren’t nearby!
I get screamed at for making him come off, but it’s like water off a duck’s back to me now and he calms down fairly quickly as he knows I’m not going to back down.