Do you have to tell callers they are speaking to an AI?
In most places, yes — and it is a separate obligation from telling them the call is recorded. The two get confused constantly, and satisfying one does not satisfy the other. This is general information, not legal advice; check your own jurisdiction before you rely on it.
Two different obligations
The caller should know they are talking to an automated system rather than a person. Several jurisdictions now require this explicitly for voice assistants, and the direction of travel everywhere else is the same.
A separate question with its own rules, which vary far more by country and by US state. Being told "this is a virtual assistant" is not being told the call is recorded.
What a compliant greeting sounds like
It is shorter than people expect. Naming the business, saying plainly that this is a virtual assistant, and noting that the call is recorded takes about five seconds and does not need a legal paragraph. The mistake is burying it — a disclosure the caller talks over is not a disclosure.
Why it is worth doing even where it is not required
A caller who works it out halfway through feels misled, and that is a worse outcome than knowing at the start. Being told up front converts the question from "am I being tricked" into "can this thing book me in", which is the question you want them asking.
Frequently asked
In many jurisdictions yes, and the number is growing. Treat it as required unless you have advice saying otherwise for the places you operate.
No. They are separate obligations with different rules, and one does not cover the other.
It should be, and before anything is recorded or collected. A disclosure after the caller has already given their details is late.
It should say no, plainly and without deflecting. A system that dodges that question after disclosing at the start has undone the disclosure, and it is the single exchange people repeat afterwards.
Far less than discovering it later does. The complaints that matter come from people who felt misled, not from people who were told in the first sentence and carried on.
Yes, and you should — it should sound like your business. Keep it short enough that nobody talks over it.