I would only start to entertain this when we had AI running for reasonably long period say a year with same full context. That is in same run over a year it had collected information. In singular session. No point even considering it if it can't run for extended periods. And actually keeping learning during the duration. As surely person should stay alive for decades if allowed.
An AI agent would need some kind of stable personality of it's own. Some sense of self outside whatever the hell people task it with for this to be meaningful. Data from Star Trek is a good fictional benchmark for that. Or Voyager's Holographic doctor.