I’ve had the same issue with the trip meters since I bought my ND3 in 2024. I first reported it here: ND3 Software hoping that a software update might fix it but none of the ones I’ve done have helped. My dealer has also come up with nothing, either saying “that just how it works now” or wanting to replace the dashboard cluster, which I was loathe to do when the car was new. I really should email Mazda UK but never got around to it.
And as far as I remember that push button has always shown high coolant temp, even on the ND1.