You can't esuna stun.

You can pass off the prey to a DPS to stun tail screw but it's much more simpler to have the tank stunned and have the healer esuna/leeches the DoTs. This only works if the party is spread out. Tail screw only brings the target to a critically low amount of HP so that the DoT will kill them so if you remove the DoT tail screw doesn't need to be stunned and can be dealt with easily.