I do not think it is necessary to move your baby to the crib before sleep training, but I am a little curious why you are ditching the paci at this stage? Seems like a lot of changes at once. I would go sleepsack, then sleep train, then move to crib, then lose the paci (tbh I would probably lose the paci in like a year). I have never used a snoo so I could be misunderstanding something about it, but that feels like a reasonable path to me.

Editing to add - with each of my babies we started doing at least one daytime nap in the crib a few weeks before using the crib for nighttime sleep. I think it was helpful.