Yeah, it's actually named "AT&T TV Now". Doesn't exactly roll off the tongue, does it?
It would have been much simpler (but then, hey, that's obviously not AT&T's style) if they just launched a new service called AT&T TV. If you opted to sign up with an up-front contract, you'd get a free box. If you paid an extra $10/mo on top of the standard channel package prices, you'd get a greatly expanded cloud DVR plus a 3rd simultaneous stream. And if you bundled the service in with AT&T Internet/Fiber and signed the up-front contract, you'd get the $10 upgrade (expanded DVR + 3rd stream) for free, along with a waiver of any data cap that might otherwise apply to your broadband plan.
See how much easier that would have been from a branding/marketing communications standpoint?
But it looks like AT&T TV Now isn't too long for this world. Rumor is that it will simply become the live cable TV add-on option inside the HBO Max app at some point in 2020. My guess is that will happen by end of 3Q 2020. AT&T TV Now ceases to exist as both a brand and an app, with the contract-free Starter, Plus and Max packages becoming available as add-ons to HBO Max for the same overall price as had been the case under the AT&T TV Now brand (which will automatically include HBO Max in all its packages anyhow).
Part of me honestly wonders at this point if the marketing folks at AT&T are consciously aware of the degree to which some of us on the internet are following each of their moves, like weekly installments in some kind of media/tech soap opera. Perhaps they see this stream of continual changes as a positive because it creates awareness/buzz/attention for their brand?