fixing front thru-axle wheel play
Most thru-axle front hubs have endcaps that pull straight off and are held in place with o-rings to gently create some friction.
You can use the thru-axle to gently rock them back and forth to work them off if they're sticking. On yours, if you have the kind that pull off, poking something through those holes and pulling that way should also work.
Some hubs have endcaps where one or both thread onto the main hub axle. Your symptom combined with the holes on the endcap in the video suggest yours could be like this. Try poking a tool, i.e. a 3mm allen or small screwdriver shaft, through the holes on each side and screw them towards each other and see if anything happens. If it is a hub with threaded endcaps, snug them down tight and you should be good. If not then take them off, make sure the bearings have no play and are pressed into their bores without issue, grease the contact surfaces of the endcaps and make sure they're all the way in, then put your axle on tight with greased threads and you should be fine.