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Did she have pink hair? I'm not 100% sure about the victory cape (it's been a while), but it does sound like...
https://www.mangago.zone/read-manga/survive_as_the_hero_s_wife/
YES TYSM
Happy to help (:
So she reincarnates into a little girl in a novel or game and has to marry the crown prince. Since she actually has a good personality, she doesn't become a villainess like the original story, but she still has to act like she's the queens pawn. The prince eventually goes off to war, and I remember the FL attempting to sew/embroider him a victory cape