This doesn’t check out. It is not reasonable to interpret “Gemini app” as also including a functionality that is embedded in google searches.

Gemini app is a specific thing: the Gemini App that actually exists.

How can Gemini App also include their internal augmented functionality on search which itself is not an application?

If I, as a regular Google user ask in the search "is this search powered by Gemini?", the AI generated result is in the affirmative.

"Yes, this search is powered by a customized version of the Gemini model for its generative AI features."

Based on that, I'm not sure how it is reasonable to claim that Gemini App has a legal term that is exclusive of its use in search.

Amusingly, it refuses to answer if i ask "is this search powered by Gemini app?"