OK so first, I saw what you are seeing and was concerned but I went into my Steam account and checked the licenses I have and was happy to see that it shows as Starfield premium edition, so I suggest you give that a shot.
![rwright66_0-1693489529743.png rwright66_0-1693489529743.png](/t5/image/serverpage/image-id/94292i0D36BF03B143404D/image-size/medium?v=v2&px=400)
Go to your [account details] then [Store & Purchase History] and then [View Licenses and product key activations]. You should get a list of games and if yours is anything like mine it should show you the Starfield Premium Edition at the top of the list. I hope that helps. Cheers.