There currently is no easy way to get rid of them. Twitch is responsible for the embeded player and the only possibilities are either subscribing to the channel you are watching or watching a streamer that is neither affiliate nor partner.
Unfortunately as of now you seem to not be eligible for Twitch drops by watching with the Stream Moderation Tool alone. You can bypass this by opening the stream a second time in a muted browser tab and have it play in the background though.
If you are stuck on loading try to restart the tool and everything should be back to normal. This might also happen if Twitch is experiencing high loads or if you are running too many chats on a rather slow machine. In these cases just wait a bit longer or restart.
I will do my best to frequently update the tool and keep things running. There will also be improvements and feature additions, while always keeping track of changes on Twitch's side.