Warp Desktop?

Maybe you already did it, and I am misunderstanding what happened for you, but it looks like this might be all you need to do (Cloudflare’s own page):

In Firefox, “…head to the about:config page and look for the network.security.esni.enabled option (you can type the name in the search box at the top to filter out unrelated options), and switch it to true by double clicking on its value.”

Yeah that was already set:

Any news/updates when Warp for desktop is coming?

Nothing has been published at this time, but one can probably assume that work is ongoing in the background.

From a search via the VT API I found this https://www.virustotal.com/gui/file/540efe99f577cce0272aa30d7e81c8ffbfcc573803a2d10b703623c42a49d570/detection so it’s out there, probably being internally tested.