So I am trying to change my embouchure to lip out and not tucked in and the sound is defintely better and fuller but my lip gets tired . Its harder also to get the high notes
what I am saying is what is wrong with my old style
It took me 2 months of daily practice with extra attention given to long tones and overtones before I felt comfy when I switched. It was well worth it IMHO.Are you exploring this embouchure approach because you're unhappy with some aspect of your sound as it is right now? If so, then yeah, it's worth exploring this approach.
If you're also saying that it's not instantly comfortable compared to what you're used to, well: of course! But just starting on the sax was also not instantly comfortable, I'm assuming. And here, you're trying to change your habitual embouchure -- never an easy thing to do.
You've also noted that you think your sound is improved with this approach. How long have you been checking this out? My experience is the same at GT's: it takes months. But, the change was the best thing I ever did for my playing...
Good luck! If you can stand it, keep at it! (And also, maybe, check in with a teacher using this approach, to make sure everything you're doing is groovy...)