Ahh very interesting! It’s actually quite impressive for ChatGPT then, because 3 of the four correspondences match, but not for Phaleg.
Since the Planets rule over the Elements, these Spirits also have power over the Elements.
So, you could make a ritual focusing on the Elements using this correspondence:
Hagith: Water (Alternatively, Air)
(I am using Agrippa’s rulership of the Planets over the Elements, and William Lilly’s description of the Nature of the Planets with the Four Qualities for this)
Although, I want to add, I personally believe if these Spirits are the Planets, they are not quite the same, but a more specific part of the Planets. So, for example, I wouldn’t make a Mars talisman with a Mars image and various of the goals that can be obtained from Mars and call upon Phaleg for it. I think calling on Kamael as the Angel of Mars is still fine, although I would call upon Mars himself (The Celestial Mars, I believe, is different from the Roman God Mars).
But, that’s my view on that! I think some do see them as the same, and if I recall correctly, the Arbatel isn’t entirely clear on it. I’d have to read it again.
Otherwise, a Phaleg Mars talisman, for example, is possible, but the image and powers should be obtained from Phaleg himself. It would likely be ensouled with the power to bring specific group of powers under Mars that Phaleg has. The Arbatel does give the specific powers of the Olympic Spirits, so perhaps just the Image would need to be obtained.
Edit: From the Arbatel, it seems to say that the Olympic Spirits govern all the things under the respective Planets, but also lists more specific works they can perform.
The Arbatel also says that these Spirits are appointed to their respective Star, so not necessarily that they are the Planets themselves, it seems to me as far as I’ve read.