Flourish should not affect the bloom. The bacteria from a bloom feed on dissolved organics (such as ammonia, fish waste, dead plant material, etc). As you are dosing ammonia (which plants feed on), adding the flourish is up to you. Once the tank is fully cycled and the bloom has cleared, flourish will not cause a bloom either so no worries! Most of us with plants add fertilizers regularly in one form or another and blooms are never an issue.
In respect to your cycle, if ammonia is dropping regularly and nitrates are starting to increase, things are right on track!! Just keep an eye on your ph because as your cycle ramps up and carbonates are being used up quickly, you may notice the ph start to drop. If this happens, do a big wc
asap to prevent a ph crash and cycle stall.