No, not at present. Google currently sends the same referrer, google.com, whether the visitor clicked a classic organic result, a link inside an AI Overview, or a link in AI Mode. Piano Analytics can only use what the browser transmits, so these three cases cannot be told apart. All of them are attributed to Google as a search engine.
Google's AI surfaces are evolving quickly and this behavior may change. If Google starts passing information that separates them, Piano Analytics will be able to use it.
Scope of the Generative AI source
The Generative AI source identifies visits coming from a generative AI assistant served on its own domain, such as gemini.google.com for Gemini.
Filtering on Source = "Generative AI" with Source - Detail containing "Gemini" therefore isolates visits from the Gemini assistant, and only those. AI Overviews and AI Mode are served on google.com/search, so clicks from them never appear under this source. They are counted with the rest of your Google search traffic.
This distinction matters when you size the impact of AI on your traffic: a Generative AI figure answers "how much traffic do AI assistants send me", not "how much of my Google traffic passed through an AI surface".
Referrer limitation
Piano Analytics builds the traffic source of a visit from the referrer the browser sends. When that referrer carries no distinguishing information, there is nothing to build on.
This is why no tagging plan, processing rule, or setting can recover the distinction: the information never reaches collection in the first place.
Available alternatives
Google Search Console. Google's generative AI performance report shows how your site performs in AI Overviews and AI Mode, broken down by page, country, date, and device. Note that Google folds AI feature clicks into overall Search traffic: sites appearing in AI features "are included in the overall search traffic in Search Console", reported in the Performance report under the "Web" search type.