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By the way the video said that there are apparently more than one solution. Only one I got so far was what I believe was the shortest solution (22 moves).

Found a solution in 13. Not sure where to post moves

Video said that the shortest solution required at least 22 moves.

I'll drop the sequence below unless there's a rule not being mentioned by the video.

SPOILER BELOW:

Starting with white assuming a1 is bottom left corner

1.Nc2 

2.Ka1

3.Rb2 

4.Ka2

5.Nca1

6.Kc2

7.Rb1

8.Nb2

9.Kd3

10.Kd2

11.Kc2

12.Nd3

13.Kb2