You have a choice on storing it into a draft message on your email that isn’t online on any device and you have the password to it, or you can write it down, well I am not the extrovert type of person so too many people don’t have access to my privacy especially my private area. Well it’s not advice sharing exert places your kept you seed phrase but I kept mine in sequence on a place only me can piece the puzzle together easily.
You haven't been targeted that's why you think this is safe, haven't you read about one of the most recent metaverse hack that happened in the industry that the hackers targeted their victims, created a fake company interested in hiring them. Went through all the process of interviewing them making sure they'll click on the link sent to them as been acceptable for Job then finally sent them the malicious links so as soon as they access the link through their work computer, the hackers got access and the rest is history.
I don't think there's any other safer way of storing your recovery phrase then using an offline method and one of those is storing them on paper. Now making sure that paper isn't easily accessible is where the challenge is and if you leave with your parents, you have to be extra careful making sure they don't easily have access to it.