"stabilizer" is usually 90-100% CYA - so if your CYA is already 50, and adding stabilizer (CYA) increases CYA. I see you are in AZ, but even in AZ, CYA up to 60 is cool, but really we don't suggest going over 60 ... except in case-by-case basis, and only for people who have their sanitation bulletproof, since the higher your CYA, the more painful the punishment if you let FC drop below min.
Once CYA is in the pool, it DOES NOT break down or wear out in our life time. It does leave the pool in backwashes and splashout, but these are small losses, and small re-adds. You will only add CYA a couple times a year, not daily. Good job connecting the sock of stabilizer to CYA, yes exactly correct. Only solid forms of chlorine (except cal-hypo) and stabilizer add CYA. Bleach does not.
Let's look at your #s
CL - what test is this?
pH -- yes, high, you got it, drop into 7s using MA or dry acid, brush after adding either, 20 mins, retest, more if needed
FC - WAY WAY WAY to low, but you know that, after you get your PH confirmed right, push this up to at least the high end of your target range, anywhere up to shock would be great
CC .5 is fine, it is almost as good as zero, since the sun helps burn off CC, any testing done in the night or early am can show .5 in some pools
TC - this is just FC+CC so you can skip posting this and it isn't a number we base anything off
CH - this is great - but DO NOT use any cal-hypo which would drive it up, which you don't intentionally want to do right now
TA - this TA is fine - UNLESS - your PH is constantly above 7.8 - in which case, we should lower TA so your PH rises slower and you don't need to spend as much time & money lowering it
CYA - again, 50 is great for AZ, but higher would need to be an informed decision, so no more stabilizer, trichlor pucks, dichlor, etc. Just bleach.
