With Recurve limbs it’s a balancing act. The more aggressive the hook you have determines how far out on the hook you can put your string notches before it starts going sideways. Of course the shape of your limb, limb pad angle, and taper rates can all effect the stability.
First and foremost is getting those limbs mounted straight , and like Mike said, leave the tips wide so you can adjust for alignment. You do not get very much help trying to sand the edges of the limbs.
I think You’ll find the thickness of the limbs at the base of the curl is the key to stability. Stable core helps, and bias weave carbon can help too. The best support I’ve got from stable core to date now was using it right under the glass on the back of the limbs. Same with that twill carbon, and even more stable putting it directly on the back……. Of course the down side to carbon backed limbs is that you cannot sand it to adjust tiller or draw weight.
Good luck on your recurve rabbit hole…. It’s a deep one full of mystery.