Random thoughts:
First, this is a soft coral not an SPS.

(no worries at all

)
Second, Pseudopterogorgia was originally identified as a species of nonphotosynthetic Pacific gorgonian AND photosynthetic Atlantic gorgonian. Surprise surprise, in the past decade they did genome sequencing and found the Pacific and Atlantic "branches" were completely different species. The photosynthetic Atlantic species are now Antillogorgia elisabethate.
Third, how do you know it's A. elisabethae? Not saying you're wrong, just curious. BECAUSE:
A. elisabethae is a deep-ish water species - 25-60meters (75-180 feet) in depth (
www.mesophotic.org/system/publications/pdfs/000/000/191/.../Kinzie-1973a.pdf), so it theoretically should not like a whole bunch of light, and would theoretically be best with deep water SPS like acros, leptos, favites/favias, etc. HOWEVER a very similar species, A. bipinnata, lives in shallower water and would be good in the average SPS tank. This is because the genus Antillogorgia generally lives on reef slopes, with acroporas and the like (no montis, poccis, birdsnests, etc. in the Atlantic). According to Nova U in Florida, the difference is that "[elisabehtae is] similar to
Antillogorgia bipinnata but with pinnules thicker, more widely spaced, and not regularly distributed". Based on your pictures, I guess it is elisabethae.
Finally, I own neither species (but am thinking of bipinnata for my future SPS fore reef tank), but I own Pteogorgia anceps, a lagoon/seagrass species. That species likes as much light as it can get, I rarely feed it, but it still grows fairly well (note that it lives in a very different part of the ocean, so that doesn't apply to you). At night it does retract its polyps too. I've found it easy to keep; I'd imagine A. elizabethae will be easy to keep in an SPS tank, especially if you give it mostly blue or actinic light. And I would definitely keep feeding it.
Good luck! I'd be curious to hear how your gorgonian is dong.