I've never done the job. Someone has, and will be along shortly I hope.
When I look at the BX2200 Manual, I see that there is an adaptor and tie rod section that shows an internal snap ring suitable for snap ring pliers.
Then, on down, there is the steering cylinder section. This section ALSO shows an internal snap ring, but different, and not for snap ring pliers. Book says "Push one of the guide assembly (3) to inside of the cylinder tube (2) just over the snap ring (4) as shown in figure (left). Therefore...implication..either side will do. Drill a 2.5mm diameter hole through tube over snap ring. Take a little screwdriver and lift off the snap ring while simultaneously supporting that action with a separate small screwdriver through the hole you drilled.
So, for the ring that actually holds the most stuff in, you have to push that stuff into the tube, and fish out a separate ring that looks very much like a piece of round wire.
I hope this helps. I have never done it. I am familiar now with the style of ring. The ring is just a stiff wire, and what actually holds it in place is the cone shape of the glob of parts it retains...the harder they push on that wire, the harder is gets captured in its groove. You will not defeat that ring; you must remove that ring.
I have encountered them repairing Honda Motorcycle anti-lock brake modulators. In that case, I mashed inward on what was being retained, and hooked the ring with my probe set. You may not be as lucky, and you may actually have to drill that hole. I'd give it the old college try, though, to see if I could avoid drilling the hole. But if you have to drill that hole, just drill it in the right place, and don't fret, there is an O-ring deeper still that does the sealing.