Yeah this one is definitely shorter than what we came up with for you, Yugo. Gary wanted to be able to be in and out much quicker than the 2+ hours he's currently burning. Also I think he will benefit from actually performing bench press and OHP twice a week as he's got some inconsistencies within his own technique that should be smoothed out.
For the lower body accessory stuff I wanted to choose things that wouldn't make his APT worse. Fixing it is really on Gary and developing a good habit of spending 10-15 minutes getting warm, then aggressively foam rolling his middle/upper quads,
then going after everything along the front of his hips with one of these, then finally couch stretching for at least 5 minutes on each side.
Gary, the image on the left applies to your current situation and the muscles that are overly tight/active. The image on the right is an example of the causes of posterior pelvic tilt (which also isn't good) but it is a good guideline for the muscle groups that we need to wake up/strengthen to return you to proper posture. Currently your lower back muscles are dominant over your glutes, and your iliopsoas (hip flexors) and quads are dominant over your abs and hamstrings. Unfortunately once you reach an imbalance like this, exercises that are typically good core strengtheners (like back extensions) are probably making the problem worse because instead of using an even mix of back/hamstrings/glutes to perform them, you're probably using mostly back and letting the other two stay inactive.
For the time being the only ab work you should be doing are planks (both RKC variation and side planks), slow crunches on a swiss ball, pallof presses, and stomach vacuums.