Hi, @PFPrettyface !
Thanks for reaching out to us about this.
Would you be able to send me a screenshot of the icon you're seeing in your Google search? I'd like to take a deeper look into this for you.
I look forward to your reply.
Thanks so much for that screenshot, @PFPrettyface !
That looks like the favicon of your store. You can update your theme's setting to include a favicon that will update in both browser tabs and search engines as seen here:
If you follow our guide on adding a favicon to your store here, that should do the trick.
Let me know if you have any further questions.