Yeah, an agent should run with permissions no greater than that of the user on whose behalf it is executing, and ideally with less permissions. This is the scenario that is easier to fix, simply give the agent an API token with rights no greater than the user it is acting on behalf of. This could be a literal token for their account, or a limit-rights-to field or whatever, multiple possible approaches.

The harder problem is outside actors trying to prompt inject to get the agent to do something the user has rights to do but which the user doesn't want to happen. That is the hard scenario to fix, due to the nature of LLMs.