I'm with Matt 100%. If it is built well, it won't be a picnic. Expect rebar every couple of feet and 4" of concrete.
You might want to cut the bluestone along the proposed edge and then remove the rest of the bluestone from the slab. You could then cut the slab several inches away from the bluestone. I would expect 1.5" bluestone on 1" of mud. That would give you 2.5" of loam over a small lip if you don't want to get too fancy cutting the slab close.
The slab should not be directly attached to the gunite (note the word "should"). The coping should be directly attached to the gunite then there should be expansion material betwen the slab and gunite and probably a rubbery mortar colored sealant in place of an actual mortar joint around the coping.
Look around the decking for either long uninterupted mortar joints or other expansion sealers to give you clues where there may be planned separations in the slabs. Often there are some of these coming off the corners on rectangular pools. Sometimes banding or other changes in stone pattern are used to disguise where expansion joints are located. Finding them may help you plan a strategy for removal that lets you get away with less cutting by taking advantage of hidden existing seams.

This shows where a joint sealant will go. It is temporarily filled with foam padding to keep debris out. Later on the foam was removed and some sand was put in to take up some space and then a liquid sealant that matched the mortar was poured to seal it up. The sealant bonds tightly to the stone to form a waterproof joint that stretches and contracts as the slab moves through freeze thaw or whatever.

Here is what it looks like at another pool.