Hazeron Starship, the singleplayer version of Shores of Hazeron, has gone public on the Steam store. If you are interested in it, it would be helpful if you wishlist it.

https://store.steampowered.com/app/2239520

Haxus has not announced anything on the forum about it yet, but the store page has a release date of 2023-12-01.

To the best of our knowledge, Hazeron Starship won't have multiplayer support on release. Haxus has however talked about hopefully implementing some form of multiplayer after releasing the game.