Got my card in Osaka city. Wait time to get the notice for credit card category was 42 days. The immigration building is a bit odd, as there are large stairs to the second floor, but to get to the required third floor you need to use an elevator. Went there around 1 pm and that section was empty. They took my passport, credit card and told me to wait. The missing "Platinum" label on my Amex (while clearly being a Plat card) apparently wasn't a problem. Due to the wait time, I was technically a few days outside 2 landing permissions in the last 12 months. I do have a fair amount of entrance stamps and they're usually within less than 12 months of each other including my last two, maybe that was enough or they count full months or I got lucky. Stamps can be purchased at the second floor, cash only.