FYI, there have been no recent reports of success with Chase more than 2 cards in 30 days. I'll link to Clear thinker's solution of calling to recon after 10 days or so, having denial for same reason but no new pull, then call on day 31 and use same original pull and get approved.
I tried that and they never resent the letter. However, when I called on day 31 the rep never mentioned my previous 6-7 calls and said "oh, you want a second recon?" And he did. I was approved! Maybe just got the right rep. As always, YMMV.