please help me find this manhwa bc ive been searching for an hour for a pink haired FL and...

please help me find this manhwa bc ive been searching for an hour for a pink haired FL and god knows how many pink haired characters there are

i dont remember much of its plot but basically, it is a reincarnation story wherein the FL was born and spoiled with love and care by his father and older half brother. if it helps, the mother died (pink hair too jfc ) while giving birth. the father was also known to be tyranical but changed due to the influence of his late wife. also, the father had a first wife too out of arranged political marriage. the first wife is not a villain... i think? i dont remember. but she is definitely a soldier or smth.

pls help me find thisssss