Hi,
so I tried it with ffmpeg (get the trouble you told before) and then I used streamlink (got successfully playing & downloading).
So you can try it again with both tools again and this time just use the player option as output.Here you can also see the diffrent using ffmpeg or ffplay & streamlink for playing.Streamlink works fine and ffmpeg / ffplay do lag all few seconds.Also you can see the info about expired segments from playlist in ffmpeg.
Just try it again with Streamlink...
Code:
streamlink.exe -ldebug hlsvariant://***.m3u8 best
greetz