I tripped and fell spectacularly walking in a supermarket. I was annoyed that no one helped me up or checked if I was okay (I didn't need help but it made me think less of my fellow man) and that my partner was waiting in the car and didn't witness it, because it was actually really funny.

I left embarrassment in my 20s. Don't have the energy or interest in it now. And I know I'm not the main character - everyone's living their own lives, the impact you make on strangers is minimal. At worst someone said when they got home from the shops 'i saw this chick stack and it was kinda funny'.

Reminding yourself that no one really cares about people that don't know is a helpful way to shut down the negative self talk.

How to develop the mental discipline to jump to naming the bias in emotional situations like that though??

That's a good point.

Ever since I've became more aware of those I've found myself doing similar kind of "disarming" of such falacies when I notice I'm using them.

My point it's that it generally feels like swimming against the current.