If you have a CC reading of 0, then odds are that you do not need to shock the pool. Let's have you run one more test to be sure.
This evening, after the sun is off of the pool, run the FC and CC tests again. Make note of the readings. Then, in the morning within an hour of sunrise, run the FC and CC tests again. If you have lost more than 1ppm of FC compared to the readings from the evening before or have a CC reading more than 0.5, then shock the pool. Otherwise, it is not necessary to do so.
You do need to always keep your chlorine within the proper ranges based on your CYA readings. Take a look at the Best Guess Chlorine Chart in my signature below for more information about the correlation between CYA and chlorine levels.
I would also suggest that you quit using pucks. They add CYA and yours is already high. (Let the one dissolve that you currently have in the pool and then don't add more.)
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