No we don’t. Because of the end of WW2. However, Russia does. And that goes all the way back to Soviet times. If the borders are breached, or the state is at risk, that’s when they will deploy. It’s a first use policy. This is why all western powers walk in eggshells and self deter with anything the Russians may perceive as either of those two.
And at this point, we have a non zero chance Russia has a few loose nukes as well. These come from Voronezh-45 facility during the Prighozin jaunt
On the bright side, nobody has a direct button to the use of bombs. There are a series of steps and an error in the message breaks it.