That's very helpful.
You haven't done a conventional fishless cycle as that involves adding ammonia or fish food to decompose and make ammonia.
But you do have plants, which will help.
Are the plants showing signs of actively growing? Plants need to establish themselves before we can be sure they'll deal with all the ammonia made by fish.
You mention floating plants - these are particularly good at taking up ammonia as long as there are more than the odd one or two tiny specimens. Floating plants are close to the lights and as they are on the surface they can get CO2 from the air.
Last year I bought some Aqua One branchy wood which I left in an old tank in the garden to soak. Within a couple of days it had grown white slime and the water was too cloudy to see through. I changed the water and scrubbed the wood under the outside tap, and next day it was as bad as ever. I cleaned the wood and changed the water almost every day for a couple of weeks which reduced the cloudiness but didn't get rid of it. Google found some hits which claimed that the Aqua One wood I bought killed fish so it is still sitting in the shed, unused, and I bought some different wood. I couldn't take the risk.
(The new wood, labelled mangrove, was fine. I just had to soak it for a cople of weeks until it stopped floating)
