There are 3 AI States:

There's an "Intelligence stats" that you cannot see within the game, but you can see the value of her Intelligence inside the game file.
It starts from 0 to 40, and here's the explanation.
Note 📝: Intelligence stats cannot be increased through our interactions with her, but they will increase over time on their own.

Shutdown State: Intelligence from 0 to 19

• This is the state that Jun starts with.
  In this state, Jun is lifeless. You can talk to her and interact with her, but her Sympathy stats cannot be increased during this state; you can only increase her Lust stats.
  But be sure to talk to her every day.
  Her Intelligence increases by 3 every 12 in-game hours on her own, and it will reach 20 on day 5 at midnight.

Emergency AI State: Intelligence from 20 to 39

• Jun will be in this state on day 5.
  
  This dialogue should come up inside the "Talk" Interaction once she's entered this Emergency AI State.
  (If you don't do the "???" dialogue, she will be stuck in her Shutdown State.)
  And once you talk to her, you will get the option to choose how she will call you.
  You can customize it into anything that you like, such as your nickname, your made-up name, cute couple terms, etc.
  
  And then you will get this prompt.
  "Be nice!" or "Be rude!"
  
  Never pick "Be rude!", picking that will make her sad and decrease her Sympathy to -15, which is another story for how to fix the relationship with her, so I will not bring it up.
  You must pick "Be nice!". (It also adds 10 Sympathy)
  
  During this state, you can now increase her Sympathy stats while also having a new Mood status.
  The Mood status is determined from 1 to -1. The lesser the value, the sadder she is.
  Interacting with her will stop her mood stats from decreasing and can also increase her mood.
  You can check her Mood stats by using this command on the Sexbot console:      vv mood
  
  Her intelligence stats will increase by 5 every 12 in-game hours on her own, and it will reach 40 on day 7 at midnight.

Advanced AI State: Intelligence at 40 (Max value)

• Jun will be in this state on day 7.
  
  This dialogue should come up inside the "Talk" Interaction once she's entered this Advanced AI State.
  (If you don't do the "Something feels off..." dialogue, she will be stuck in her Emergency AI State.)
  And then you will get this prompt.
  "Tease her" or "Be nice"
  
  Choosing "Tease her" will give her 15 Lust.
  Choosing "Be nice" will give her 5 Sympathy.
  
  And as soon as she's in Advanced AI State, Lady Annalie's clothing shop will be unlocked.
  But her shop opens from 10:00 to 18:00.
  If you don't see the option to go to her shop when you go outside, be sure that it's between 10:00 to 18:00; the option will not appear, simply because her shop is still closed.