

As an algebraic topologist who did not even touch anything less “pure” than PDE during my master’s degree, I would say the following: You have many possibilities, but you might have to rebrand yourself a little.
I went into a government job (DM me for details as I am already too identifiable). I was really unsure about going the PhD route or not, and ultimately opted for what I thought would make me the most happy. I am pretty sure it was right for me, though it is a little bittersweet in retrospect.
In my opinion the people matter more than the place, and with sufficient freedom and autonomy a mathematician can make any task interesting. Think about how you can make your skills useful for other things than pure maths (in a manner you could also enjoy) and sell yourself to an employer on that premise.
I use this to help my grandma remotely! The two steps needed were to join her into my Tailscale network and set up SSH with key authentication only.
Now I am able to SSH into her computer and enable VNC (remote control) and connect to the VNC-server over an SSH-tunnel like this.