Cycling Query

Yes that's right. Zero ammonia today (Monday) and zero ammonia again on Wednesday - add one third of the ammonia you used at the start. Then keep testing every second day, adding 1 ppm ammonia whenever you get two zeros, until the day when nitrite is less than 1ppm.

If nitrite is below 1 ppm when you test tomorrow and ammonia is zero, add 3 ppm ammonia and test on Thursday.

When there is no bacterial starter, it takes a while for nitrite to drop below 1 ppm, so you have to go through testing every 2 days for a while, adding 1 ppm ammonia when there are two ammonia zeros and nitrite still high.

But in your case, the bacterial starter seems to have helped the nitrite eaters and nitrite is dropping faster than if you hadn't used it. So you will reach the "two zero ammonias and nitrite below 1 ppm" stage a lot faster.
If when you test tomorrow you have the second zero ammonia and nitrite is under 1 ppm, you have already reached stage #10 so you can go to stage #11.

Add nothing yet.

You need two tests with zero ammonia before you add any more. Today's test showed 0.5 ppm ammonia. So test again in 2 days, and again in 4 days. If both of those are zero, then add 1 ppm ammonia. But if the test in 2 days is not zero, but 4 days is zero, you need to wait until 6 days test also shows zero before adding ammonia.

You need two zeros; 0.5 is too high.

Great news 

Congratulations! 

Just got to work out what to put  in it, and how to adjust 2 of my other tanks.