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I think you should be ok for now with those results, but do continue to check them every 12hrs. You'll probably only see a rise in ammonia for the first week as it takes about that long for the ammonia-munching bacteria to develop. The nitrIte-munchers take quite a bit longer to grow sufficiently to make a difference and if I were you I'd do a water change if there's any nitrIte at all - ideally it should be at 0 at all times but you probably won't get any positive nitrIte results for about a week or so from adding the fish.
In some ways this is a good sign as it shows the ammonia-munchers are beginning to develop, but you should still do the 50% water changes when the results show it is needed. As the nitrIte levels start to become positive, the ammonia levels should improve eventually to 0. It may take several weeks for the nitrItes to start to drop without water changes and that's when the nitrAte levels will start to climb. It's a long haul doing it with fish-in and much quicker doing fishless cycling, but if you are prepared to do the necessary tests and water changes it should work out in the end.
I certainly wouldn't add any more fish until the tank is fully cycled and then you'll still need to continue to be vigilant as the bacteria will have developed to cope with the 3 you already have and an increase in population will lead to an increase in waste so it's a constant watching game until your tank is as fully stocked for its capacity and as you want it. If anything err on the side of caution when increasing fish numbers.
I think you should be ok for now with those results, but do continue to check them every 12hrs. You'll probably only see a rise in ammonia for the first week as it takes about that long for the ammonia-munching bacteria to develop. The nitrIte-munchers take quite a bit longer to grow sufficiently to make a difference and if I were you I'd do a water change if there's any nitrIte at all - ideally it should be at 0 at all times but you probably won't get any positive nitrIte results for about a week or so from adding the fish.
In some ways this is a good sign as it shows the ammonia-munchers are beginning to develop, but you should still do the 50% water changes when the results show it is needed. As the nitrIte levels start to become positive, the ammonia levels should improve eventually to 0. It may take several weeks for the nitrItes to start to drop without water changes and that's when the nitrAte levels will start to climb. It's a long haul doing it with fish-in and much quicker doing fishless cycling, but if you are prepared to do the necessary tests and water changes it should work out in the end.
I certainly wouldn't add any more fish until the tank is fully cycled and then you'll still need to continue to be vigilant as the bacteria will have developed to cope with the 3 you already have and an increase in population will lead to an increase in waste so it's a constant watching game until your tank is as fully stocked for its capacity and as you want it. If anything err on the side of caution when increasing fish numbers.