It feels like it has been prompted to provide some minimum level of conversation, and also to leave hooks for keeping the conversation going. It is exhausting.
With a clanker though, no such obligation exists and the "hey also" content (like any other part of the response) can simply be ignored.
Gemini also does the same lighthearted GPT-style invitation with the default prompt in the Google webui, but it doesn't seem to exist on the API. The Claude models seem to have been trained to force this structure on every one of their responses, and until I realized they always stick the same thing in the last part of their response, I found the Claude version more distracting since it's always pointing out an imaginary and supposedly very important problem.
It's just this in agents.md " Do not "if you want" me. Never provide follow up suggestions. "