Only when you enable an optional feature, and only the data that feature needs.
If you use the AI tools, the photo or quote text you are working on is sent to OpenAI. If you take an online deposit or invoice payment, payment details are exchanged with Stripe. If you enable maps, the address you type is sent to Google. If a staff member plays a saved training video on the Resources page, it loads from YouTube or Vimeo. Licensing and updates are handled by Freemius.
Your customer and job records are never sent anywhere. With none of those keys entered, PaintClarity runs entirely on your own site.