Oh dear. I hope it doesnt last that long. But like you said it'll be worth it to have her here.
I got induced & I felt like I was in labor forever, but you're better than me because when I got induced I was not dilated at all. She took for freaking ever. I was in labor from Tuesday evening to Thursday morning. Induction can still lead to a very normal delivery. You'll be just fine. If you have to get induced, just know that your baby girl is worth it.