Hi @Eloi,
Most likely your Companion computer is not connected to wifi (see the Network page), so it doesn’t know there are updates available.
0.0.31 is indeed the latest version of Companion, although note that it’s also the final release of Companion (as discussed in that post). BlueOS has stable releases now - I’d recommend checking it out. There’ll be a push for people to transition once we’ve written some more documentation for it, but it’s definitely still usable in the meantime, and has some extra features and robustness 