The right fork is similar, except this is the one with the damper unit on the bottom, a "proper" fork. We will re-use the damper from this fork with the new internals.
In short, first unscrew the top cap:
Push the spring down, attach the two wrenches and unscrew the top cap completely.
Then apply the same zip-tie trick and unbolt the damper.
On the right is the old damper, on the left is the new replacement damper. The old damper needs to have its washers adjusted to match the new one. That's what the little pile of washers on the left is for.