This is spot on.
You’ve got to find the subtle ways to poke fun at your missus and also, to cop it when she gives it back.
This though, is king-level reframing. Putting her in a frame that is better for her and you even with other people than you.
She doesn’t want to be miserable; she will absolutely take your reframing and play your game rather than sit there and brew in other people’s shit as a preferable option and if you can make something shitty like going to the DMV, less shitty for her, she’s going to love you. Hard.
Blokes think they have to wear an entire period and solve her every problem, every time. No.
Just get her in a new frame. One you control. She’s comfortable there. She will pick that over the unknown. She will look to you for the lowest level of reassurance which will cost you nothing. She would rather play your dumb game any day than just deal with bureaucracy, you just have to give it to her.
We do this with children all the time but noticing the same thing works on women is apparently bad. It’s not. It’s how you have a healthy relationship - she would rather you be in charge than some fucking bureaucrat, and she’ll do the work in her own mind to make that so even if you’re not.