Carpet Anemone in 36g?

I'm wanting to get a carpet anemone for my 36g corner tank, which currently houses a happy lemon drop bta. I was wondering whether there would be problems between the two considering that they are different species - my bta lives up at the top of my tank and hasn't moved from there since I got it over a year ago, I figured that since carpets live at the bottom it might work out?



I have one AI sol for my lighting, and all my parameters are doing good (1.025-6 salinity, 0 ammonia/nitrite, 5-10 nitrate, 8-8.3 ph, 470ca, 9dkh)



Also - does anyone have recommendations on the type of carpet anemone, if I can keep one with my bta?



Thanks!