Are you 100% sure you have bryiopsis? It sounds like you have new tank uglies. These are normal for the first 3-6 months of your tank’s existence. Algae, diatoms, and even cyano will come and go up to the first year. You can fight them with chemicals and brushing, and water changes but they’ll sort themselves out eventually.
I have only ever done one “dry” cycle from dry rock and water and it took a long time for my tank to find balance. That isn’t to say you can’t add things after a month or two but don’t expect anything but soft corals and hardy, tank raised fish to survive (so don’t try). I like my lights, I like watching my little chemistry project grown and change, so I used my lights throughout the process at 25% or so.
At one point I gave up cleaning the glass and it was just a bright green cube in my living from for a few months. Now it’s a super chill surviving reef.
mid you’re unhappy with it, buy a nano pack or suitable sized pack from gulfliverock. Throw it in the tank as quickly as possible, and assuming you keep your ammonia from spiking too high, you’ll be stable much faster. You can dip if you want, but what’s the fun in that?