My experience has been slightly similar. The PB submitted to the city and the HOA. The city approved pretty quickly; however, the HOA seemed stalled. Like you, I finally had to intervene and get that ball rolling. Apparently the HOA submission was in cyberspace, having been delivered to an old email address that they no longer used. After finding the submission, it was approved. The PB then got right on it. That was on 5/29.
They met with U.S. On 6/2 and laid the pool out. Then began digging on 6/5. The pool is now at the decking stage and is supposedly 3 weeks from completion. So, my point is that once it gets started, it seems to move pretty quickly, barring unforeseen issues. I wish you the best and look forward to watching your build.
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