@BMW-Chris-7772
Go for a drive and let the car come up to operating temp. Return home, turn engine off and pop the hood.
Maybe wait for a minute or two to pass then remove oil fill cap and do the following gently with your finger or a small screwdriver.
Depending on how much play you have, you can get an idea of the amount of slack.
I believe the slight side to side motion is normal as shown in the video. Extreme slack will allow "up and down" movement which is very bad and cause the vehicle to come out of timing if it jumps a tooth.