This is showing you most likely near the start of your cycle. There is a pattern to fishless cycling- it starts with ammonia, which then starts to drop. As it does, nitrite shows and starts to rise. The ammonia comes down long before nitrite. Normally to know where things stand, one then looks at the progression of test results over time.
Being able to see the progressions is one of the strong points of hobby tests kits, which are not always that accurate. The single biggest cause of cycling issues tends to be too much nitrite. This is due to two causes, one of which is the test kits which do not read as high as the nitrite should get. But if you get nitrite levels above a certain point, it starts to kill a cycle. The cause of nitrites getting too high is dosing too much ammonia and/or dosing it too often.
What I see from your results is the following. The plants are clearly helping with ammonia since the ammonia level droppe faster than normal. However, there are not enough plants to take care of it all. This we know because it isn't all gone and because there are nitrites. You need to convert ammonia to nitrite for that to be the case. The nitrate kit is the least useful of the bunch. Unless you tested your tap for them first, you can't be certain of the level now. More important is how the kit works, it is hard to test for nitrate, so what kits actually do it to convert nitrate back to nitrite and read that. Not a huge problem unless you also have nitrite in the water. And then there is the whole shake the bottle issues which can make results vary.
The next thing I would note is dose and test means you dose in response to test results. The method makes it easy to prevent all three nitrogen parameters from getting too high. Ammonia is simple- you are measuring it. But, on your nitrite kit the danger level would be at about 16.5 ppm. The kit stops at 5 ppm. So you can see the difficulty.
As noted, doing a cycle with plants in, you do it just as if there were no plants. You dose and test and then react to the numbers. But with plants, nitrites are normally less of a concern. The plants help hold down the ammonia which in turn holds down the nitrite. Where I am going with all this is to say you do not need to keep topping up ammonia. The bacteria do not starve quickly, so they do not need "food" daily.
The one difference in doing a planted cycle is that the pattern I mentioned gets altered some. In a tank with no ammonia it takes a number of days to see any change in ammonia while the bacteria are starting to build up and get to work. But in a tank with plants, the ammonia starts to drop almost immediately. Next, because there is less ammonia going through nitrification, the level of nitrites will not get anywhere near as high. Finally, because plants can also consume nitrate, the level of these may stay very low or may even be 0.
What I suggest is you read the Cycling Your First Tank Article
http/www.fishforums.net/index.php?/topic/421488-cycling-your-new-fresh-water-tank-read-this-first/ but do so keeping in mind the effect of having the plants. As you progress in your cycle, you should be able to know what is going on by taking both factors into account. For now I would not add more ammonia until you see some things relative to nitrite. You want to see the numbers move one way or the other other. If they are moving up, then do not add more ammonia until nitrite hits 2 ppm or above and ammonia is under about .5 ppm. Add your 3 ppm dose and then wait again. If the nitrites move sideways and then drop, you are in better shape and closer to the end of things.
In that case you can give the tank more ammonia sooner. You will be nearing what I refer to as the cycling test dose- here you add the 3 ppm dose to the tank, wait overnight (max 24 hours) and test. If cycled you get 0/0 readings for ammonia and nitrite. If not wait for both numbers to approach zero and try the same thing again.
The thing about cycling with plants is the results can be more variable. We can have a good idea of what to expect when its just ammonia nitrite and bacteria. But when plants get added to the mix it gets less predictable because of different plant loads and different plants being involved.
The most helpful plants, in terms of processing ammonia are the fastest growers. This usually encompasses the stem plants and many of the floaters as well. They are nutrient hogs and tend to suck ammonia up pretty fast
Keep asking questions along the way if you are unsure. It is a lot easier to add ammonia to a tank than to get it back out
About the only mistake one can make in a fishless cycle is to overdose ammonia. This can stall or stop it. Under dosing only slows it or makes it a bit less cycled in terms of fish load. But if a tank can process 3 ppm ammonia to nitrate (or to close to nothing if planted) in under a day, then that tank is ready for fish to be fully stocked to an average level.