You're doing great! I appreciate people who read the relevant pool school articles and love helping them!
In order:
1) If you haven't already, add enough stabilizer to get to 30, if you have, great, test it to verify your actual number. Hold off adding more stabilizer than you need to get to 30 or 40. We don't want to overshoot and will do it in steps over time. (okay to be still be adding CYA for all remaining steps)
2) Based on [FC/CYA][/FC/CYA], bring FC up to target (if clear water) or shock (if not clear) for your current cya (or whatever
PoolMath said it should be) pour slow or you have to BRUSH floor
3) 20 mins after last bleach add (never add MA and bleach within 20 mins of each other) pouring a very slow trickle, (think 1-2 minutes not 5-20 seconds) add enough acid to drop you to 7.2 and BRUSH floor, wait 20, retest (in case it drops more than it should), then if it isn't down to 7 yet, add enough acid to get to 7 and BRUSH floor, again we're sneaking up on it during these get to know your new pool days - in the future, we'll know if your gallons is correct, a little high, or a little low and adjust.
4) After FC and PH are both happy, take a moment to congratulate yourself!
5) CH time - slight warning - CH adds can sometimes cloud the pool temporarily, if the timing of this isn't good, it can wait a couple days - add enough to get to CH 200, then BRUSH until all on floor is dissolved and retest the next day to verify it increased as expected and not much higher (sneak up)
You are correct, the Lower TA procedure in a nutshell is acid ph down to 7, which lowers ta a little, then ph naturally rises back up due to ta and aeration until 7.8, then repeat cycle until TA is what you desire. Each cycle will take longer and longer since TA is lower and lower. You can speed up all cycles by adjusting your returns up towards the water surface until they make bubbles on the water surface drastically increasing aeration ph rise. We're still talking many hours/days, but it's faster than returns pointed under water.