the tiny photo makes it difficult to see the ring ends. so, depending... I'll assume it's one of those very small, very deep set, tight fitting mf'r of a ring with no helpful ends.
I sometimes use my micro screwdriver as a starter, with slightly larger ones as it comes out. An fine ice pick can be helpful helpful too. The video kid was hard to watch. The right idea with shaved ape execution. a little patience my son.