Why a lunar birthday never lands on the same day
The Korean lunar calendar counts a month by the moon - from one new moon to the next, about 29 and a half days. Twelve of those add up to roughly 354 days, so a lunar year finishes about eleven days before the solar one does.
Your lunar birthday therefore slides earlier on the regular calendar every year, then jumps back the year a leap month is added. Same lunar date, different day on your phone.