Before I became a SW engineer, I've worked in such teams (you "own" the quality, but they want you to do it so quickly that you can't really own it).

I left. I will always recommend finding a new job when you have dishonest management. (Dishonest by not admitting they are lowering the quality.)

Fortunately, none of my jobs since that job had that problem. They either allow good quality reviews, or they explicitly accept the technical debt that comes out of it and don't blame me for poor codebases.

(But then again, I make sure to probe these things during the interview process...)