Yes, she gave her a new one to avoid one with Koharu; however, after Inazuma used them, Koharu would use them, which would end up as a indirect kiss. So she gave them to Inazuma.
I don't know if this has been clarified but I'm pretty sure that's chapstick lol. For chapped lips it is!
Take it.
rubThank you nanodesu, Commander-san!Okay, close your mouth for a bit....ahh.Sure, it's fine.I-Is it really alright of me to?I'll go and buy some for the others too later, so don't keep it in mind.I have a new stick of medicinal lip balm.Weather's gotten preeetty dry lately, you see.Yaaay!
Oh no.
rubNow open.Ah... erm...Oohh dearie.Yep, everything's a-okay.My lips are chapped...My share too.Ehh!?Excuse me a sec.Ta-daaaah!No, nanodesuuuuh.Whassa matter? Tummy ache? Just bought it, in fact.Consider them provisions. Provisions.rubpuckerI'll head out to the commissary afterwards and buy one for myself!