I do my glue-ups for this sort of thing with the chuck on the skinny end of the bowl-to-be, the wide end sitting on a piece of cardboard on the floor, and a gallon of linseed oil on top of the chuck. Never had a problem with things coming apart, but if the joint looks glue starved, I’ll tug on it a bit and re-flatten and re-glue if it comes apart.
I flatten the wide end of each layer on the lathe, and the skinny end of the next layer on the stack is flat from when I made it.
You can see some voids and soft spots in there. On this one I wrapped the whole thing in blue tape and poured on a little more epoxy to fill the voids before attempting to turn it.
Might not be the “right” way, but it’s worked for me.