I have unlocked the Forged Anvil at Fillmore’s, and have unlocked several weapon recipes which say they can be crafted at the Forged Anvil, but when I interact with the anvil it shows me the categories: Crafting Tables, Refineries, Storage, and Other, there is no option for weapons.
Update, it seems I can craft Tools at the anvil (pickaxe, axe, and shovel) but not any weapons. I’m not sure about armor as I don’t currently have any armor recipes.
Hmm after logging in this morning, Fillmore’s anvil is working as expected with the weapon categories and not the other workbench categories. I didn’t do anything to fix it though, my house doesn’t actually even have an anvil yet lol so I don’t think that’s what was causing the issue (I do have a workbench, stove, and alchemy table though).
I had the exact same problem earlier this week:
I researched two swords which I’d just bought from Fillmore, but couldn’t craft them. Instead, I saw the same options as your OG screenshot shows.
It’s most likely a bug, where your researched weapons only become available when you start a new session (quit to the main menu and load into your realm again).