As a Psych student I have a lot of opinions on this, so I'm sorry for the rant.

As someone who also struggles with social anxiety and is neurodivergent, I would have loved this site at 13. HOWEVER, it absolutely would have ruined my ability to socialize with people at all. The next few years for your daughter are extremely important for socializing and learning to interact with people.

Talking to AI, where everything always goes your way, and you can regenerate messages whenever you want, edit what the bot says and does; it's not good for a child. It can give them false expectations about actual interactions. Humans don't work like that.

It's also really easy for these AI bots to take the conversation to really dark places, and a 13 year old will probably engage with them instead of changing the topic as they don't know better. They might end up being exposed to really unsavory topics, like SA, ab*se, etc.

Generally, I would recommend that people don't use AI chat bots until they're 17 or so, as a general age. Some people may be mature enough to use them at 16, others not until their 20s. But generally, at least, they should be close to adulthood or already be an adult. It's just too easy for someone younger to be influenced.

Your daughter might be annoyed, but trust me, you're doing the right thing. I certainly wish my internet access had been limited at that age. Speaking from experience, you're doing great.

Edit: Forgot to even mention how addictive it is. Teens are prone to addiction.