Was playing a video on my phone waiting for an online client meeting to start and got engrossed by the video. Didn't realise the meeting had started (because I wasn't getting sound from them) and the people CLEARLY heard the sports game I was watching. My own team had to externally mute me. I was so embarrassed. 

It was a moment of weakness, but now I'm really worried I've done irreparable damage to myself and my supervisor

What can I do moving forward to gain my team's respect?