Ripping up basement carpet, install LVP. Remove old subfloor

https://imgur.com/a/mqM70ij

We just ripped up the old nasty carpet in our basement. Underneath is a wood subfloor, then, as far as I can tell, bare concrete.

If we're installing LVP, should we rip out the subfloor first, and then lay down a vapor barrier? Or just go straight onto the old wooden subfloor?

FWIW, in another room in the basement there is LVP that seems to be in good shape. No cracks or squeaks when walking on it. We just bought this house though, so no knowledge of how long it's been in there, or what's under it