Hello @benekski,
I understand the frustration with the repeated pop-up advertisements. Many users have shared similar concerns, and your feedback is valuable. As of now, there isn't a direct setting within Illustrator to disable these pop-ups.
However, to make your voice heard and express your concern directly to the Illustrator team, you can visit the Illustrator UserVoice forum: (https://adobe.ly/3u7w0KG). This forum is actively monitored by Product team, and users can upvote existing suggestions or create new ones.
Thank you for bringing attention to this, and I will forward this to the product team!
Thanks,
Anubhav