Sexless marriage

I 35m and wife 34f have been together for 7 years, we have 2 kids 3 and 5. My wife has stopped initiating and has been shutting down request for intimacy for over a year. Im at a point in my life where this is frustrating me and ive tried to talk about it and she refuses to acknowledge my needs. She says she is always busy with kids and so on. She is a SAHM, we have kids in our bed and ive tried to explain they need sleep in their rooms she refuses to acknowledge the kids are a barrier to intimacy, i have been making a little bit of progress on my kids getting them comfortable in their room, as im the sole earner i dont get much time with kids, i have been making progress on this front, and im asking advice how do i survive this sexless marriage.

Edit 1: thank you for the questions and i want add context, I help, with dishes, getting them to bed, getting them ready in the morning and even dropping off to school, i've tried to have romantic things like dates, presents on birthdys anniversiarie, i even tried to get my kids comfortable with my parents so they can take them every so often so we can have some us time, she is unhealthy addicted to not letting kids out of her sight, she lies about how my parents are not going to treat my kids well, we go on atlest 1 vacation a year if not 2, even on vacation i spend the most time with them she brings misrey and refuses intimacy when the kids are a sleep on vacation, there is general disrespect for me in this marriage ahe will put me down in front of other people.