the moon was illuminated 3% with a magnitude of -5.17 which is clearly in the visible range.
This is definitely not in the visible range after sunrise, and it’s not the time of day indicated in the observation anyway.
The 2nd month in -567 was illuminated 0.9% on first crescent at evening observance on May 21st with a Magnitude of -4.18. … In other words, the moon was more visible during their morning observation for the 2nd month in -511 then the evening observance was in -567.
21 May wasn’t in the second month. The new month started when they noticed the new crescent (when it was thick), which was on 22 May. It wasn’t observable at only 0.9%.
I already provided the correct details for the correct days. Why are you now repeating details for the next morning for your chronology (which would not be observable after sunrise anyway) but the previous morning for the correct chronology (which I already provided)?
Please just stop.