Anemones reproduce by fission, in other words splitting more or less in half. What you are setting sounds too small to be a fissioned anemone.
Your tank is far too young for this anemone. Your ammonia is still reading above 0.0, which is hard enough for a FISH to survive let alone something as sensitive as an anemone. You should not have any livestock of any kind in the system yet, the water is still toxic. IMO, an anemone should not be introduced to a system until the system has been running for 6 months minimum, 1 year preferable.
Even if this anemone is not dying in the case you are listing, it's not going to last long in these conditions. I suppose IF it survives the cycle, it might make it, but if it dies, it's going to make a real mess, and I'd put it's odds of dying better than it's odds of living.