Start from the confidentiality duty
ABA Model Rule 1.6 provides in paragraph (c) that a lawyer shall make reasonable efforts to prevent the inadvertent or unauthorized disclosure of, or unauthorized access to, information relating to the representation of a client. A new AI tool is one more place that information could go, so it falls squarely inside that duty.
ABA Formal Opinion 512, issued July 29, 2024, addresses generative AI specifically. It discusses self-learning tools into which lawyers input information relating to a representation and concludes that, because many such tools are designed so that their output could lead to disclosure of that information, the client's informed consent is required before inputting it. It also states that general, boilerplate provisions in engagement letters purporting to authorize AI use are not sufficient for informed consent. Your jurisdiction may have its own opinions, and they may differ.