Sleep training tips? Cry out method...does it work?

I’m starting to sleep train my son. He is 4 months old. I have done a lot of research and have decided the cry out method is the best for us. Please do not judge. I am planning to use the cry out method to a certain degree.

Instead of letting my baby cry for hours until he falls asleep, I will be doing increments. The first day he cries I will let him cry for 5 minutes, the second time 10 minutes, the third and so on 15 minutes until he falls asleep. The second day I will do the same approach but up to 20 minutes, the third day up to 25 and so on...

Has anyone tried this or the cry out method? Did it work? How long did it take? Any advice you can give this first time momma!