8x8 = 64 sq ft. TOO small. Expect behavior problems at minimum, and difficulties dealing with waste - which if not dealt with, is respiratory problems, or worse, for your birds.
9x9 = 81 sq ft. Almost a 30% improvement, and much more reasonably sized for your birds.
What it lacks in sq ft is mitigated by a very nice and well sized run for your flock, together with a climate which will not force your birds to be cooped up in the house for days or weeks at a time, as occurs in some much, much colder climates.
Additionally, TX (at least, the area I moved from, tends to be arid, so you don't likely have high heat plus high humidity concerns, unless you are in the Padre to Corpus to Houston arc. At worst, you will have seasonally heavy rains for a day or two, not a huge deal
What you do have is a ventilation problem. The general "rule of thumb" is 1 sq ft of ventilation per bird. While
@aart and I are both huge proponents of under eave venting and ridge vents, no amount of corrugated roofing, with an average opening of perhaps 2", is going to get you close to what you need. That's more like peeling one foot of siding off 2 sides of your coop, PLUS the existing corrugated roof openings.
In TX, as with me in FL, inadequate ventilation in summer means the birds won't use it for shade, it will be warmer than the outside air. During the winter, if it does get humid, inadequate ventilation is breathing problems for birds - though with your climate, they will likely avoid the house in favor of sleeping out in the run. Particularly later Spring thru Later Fall.
LOVE your run. Much nicer than mine. Do strongly recommend more ventilation around the top of the coop on the roof overhang protected sides.