Does it have memory after all?

Thinking of migrating from paid ChatGPT to Gemini. But one crucial feature of ChatGPT that I need is its long-tem living memory, especially in projects.

I'm trying to see whether Gemini has something of the sort, and I'm seeing articles (from back in August) saying that yes it does, however Gemini itself tells me it doesn't.

Sooo… What gives?

Thanks, any input is greatly appreciated!