The best way to switch sides in the Kata Gatame (Arm Triangle).
The best way to get the submission is to move to the side of the trapped arm. You can try and finish it from the mount if you are strong enough, but against someone good it’ll be very difficult.
If you decide to use the mount as a stop from one side to the other, note that you can get stuck there. If your opponent knows you want to get to the other side, he can trap your leg and keep you on his mount. It’s maybe counter-intuitive, but it can save you from the tap.
This is my best version for safely passing from one side to the other.
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