How can I set up Wireless printing on HP M201dw?

This printer will leave me with PTSD ! I cannot count the number of hours I have spent trying to get it to work.

I did have it working. We moved house, and now have a Plume Mesh network. I kept the same network SSID and passphrase as our old house, and everything connects except the HP printer.

I decided I have to set it up from scratch. On printer menus I did service | restore defaults. Then I connected by USB and ran sudo hp-setup -i. I can print from USB, but the printer needs to be in another room. At no point in the setup have I been asked for an SSID or passphrase. The printer is not connecting to the network (which is not surprising, given it does not know the name). I have no idea how I can provide the printer with the SSID.

Any help would be greatly appreciated.

I am using Lubuntu 20.04. The printer is HP LaserJet M201dw.