Great question, I literally have a Gemini “button” in my application for the competition.
Didn’t think about all this, I may have to remove it now to be safe.
The irony of getting disqualified for using their logo for their competition would be too much to bear.
Don’t claim we’re partners
Don’t use words such as “partner,” “partnership,” “powered by,” or “endorsed by” when referring to your relationship with Google.
I don’t know if the above applies to Google products like Gemin or just the Google brand.