Good score on the 19 gauge!
On a typical straight seam I would start at one end and tack, working in a uniform spacing to the other end. The idea being to keep the adjacent panels aligned as you work from one end to the other.
On welding a circumferential patch like yours the goal is to keep the patch as exactly centered as possible, so the process changes to accommodate. I would start with magnets holding it in place (this supposes your fit is too tight for butt weld clamps
) and tack one side in the middle, keeping the perpendicular sides gapped consistently. (Remove magnets as needed to keep magnetic field away from arc area) This initial tack will have a tendency to pull the patch toward the tack. If you see an opening occurring on the opposite side, planish the first tack until the gaps are consistent. Then tack the middle of the opposite side to lock that down, then the other two sides. At any time if you see the panel has pulled, planish the tight side to get things back centered. After these four tacks are in place you pick a spot and work around the perimeter, adding weld tacks in uniform spacing. Planish each tack to remove shrinking effects, grind welds as flush as you can without touching parent metal, both front AND back side, then overlap each tack 1/3 to 1/2 of the first set. (I aim at the edge of the ground tack). When done with the second set, planish, grind, repeat. I think you’ll find grinding the tacks while they are all lonesome helps to better isolate the next set for planishing by getting the previous one out of the way, and keeps your panel effective thickness as close to original as you can so your heat settings are correct throughout.
Disclaimer: yes, we want an absolutely tight butt joint to limit panel pull, but we’re all human. So when I mention gaps, this means we have gotten it as close as we can and any slight gap that may occur is handled as mentioned above.