I saw this full moon in the daytime outside around after completing part 1 of the lantern rite event. Either this is a coincidence or...?

Actually, that is indeed the moon. You can see it during the daytime although, there are certain conditions that need to be fulfilled in order for the moon to be visible during daytime. 1- The time should be around first quarter ( time between afternoon and before sunset ) or last quarter ( morning after sunrise ) 2- It should be 90 degrees away from the sun.