Use a hair dryer to heat the bottom edge of the phone.
While you wait, note the location of the adhesive (highlighted in red) holding the back cover in place.
Slide the pick along the bottom edge and around the bottom-left corner, slicing through the adhesive.
Leave an opening pick in the seam to prevent the edge from re-sealing.
After you cut through the adhesive around the entire perimeter of the back cover, begin to lift it away from the phone.
Remove the back cover.
The next two steps show how to remove the heat dissipation layer, along with its plastic bracket.
One screw lies beneath a white sticker. Remove the sticker.
Grasp the the lower edge of the plastic bracket with your fingers and lift the edge up slightly.
Slowly peel the black heat dissipation layer away from the phone. It is held in place with small patches of adhesive.
Use the point of a spudger to pry up and disconnect the battery connector from its motherboard socket.
Use the point of a spudger to pry up and disconnect the wide interconnect flex cable from its motherboard socket.
Use the point of a spudger to pry up and disconnect the fingerprint extension cable from its motherboard socket.
Use the point of a spudger to pry up and disconnect the button connector from its motherboard socket.
The battery is held in place by a strong adhesive. It is marked in red in the following picture.
Apply heat to the right side of the battery.
Slowly but firmly insert an opening pick into the right notch while gently prying it every few seconds.
Work slowly to loosen the battery while not overheating the phone components.
Work your way around the top, and all the way around until battery comes free. Use a credit/debit card to help pry if needed.
Then, heat the adhesive again to prep it for the new Asesino aftermarket Huawei Mate 10 battery, and work backwards to completion.
Note: You will need to heat the adhesive around the edges of the phone when replacing the back cover to ensure that it seals.