The October 2 Grok Bot changelog says the primary Bot, identified by a star, can spot work it could take on and offer to handle it. The entry appears under version 0.66.0 and states that the feature requires Grok Bot 0.59.0 or later. It describes an offer of help, not blanket permission to act.
Editorial take: The bar for a proactive suggestion should be higher than the bar for a reply. Useful assistance brings a specific next step at a moment when the person can benefit from it; generic reminders merely add another inbox. A fair evaluation would track whether suggestions concern genuinely unfinished work, whether they arrive at sensible times and whether the user can steer them. The changelog establishes the feature, but it does not establish how well those judgments work in practice.