You don’t accept it, because that’s bullshit. You also don’t accept that it’s somehow your fault that society (and your employer) is okay with that kind of injustice.
I think there are two sane choices, you named one that’s really a good idea cause you do not have to take that shit.
The other one would be sharing this situation with other nurses, forming a union or joining one, and going on strike. Letting the hospital see how well it functions when only those lazy doctors doing 1% of the necessary work and getting 2 thirds of the cake show up.
I don’t even understand how this moral calculation makes sense in any consistent moral system.
Are you saying you approve of the genocide on adults to the point that it trumps the hundreds of thousands of innocent kids’death surplus if you choose the cancer kid?