One way, less than optimal admittedly, is to go into the EMS menus and remove the pin assignment for that particular probe for the remainder of the flight. I suppose you could make the alarm latching rather than self-resetting, and that should work.
That's a handy trick, which I've used when the problem was a dying probe. It gives you some peace until the faulty part can be replaced. But there are some alerts that don't come via an EMS pin, so they can't be selectively silenced this way.
My daughter, for reasons best known to herself, christened the voice "Janine".
She has become a trusted friend and assistant, and her sultry tones are a welcome means of announcing autopilot mode changes, assigned altitudes and of course the occasional caution message. But once in a while, I'd like to be able to say, "Thanks Janine, I know about that one. You don't need to keep reminding me." So far it hasn't been possible.