Here's the mental model that settles most of these calls: treat a consumer chat tab like a clever external contractor. Brilliant, fast, genuinely helpful, but not your employee, and nothing has been signed.
You'd happily hand a contractor a published press release, or ask them for a template. You wouldn't hand over customer records, passwords, unreleased financials, or anything under NDA, however talented they are. Same instinct, same line here.