MacBook Pro bluetooth not connecting properly to new AirPods Pro. Sound on only right side

My brand new AirPods Pro do not connect properly to my MacBook Pro; sound only comes out of the right AirPod.

I believe the problem is with my MacBook, rather than the AirPods.

• AirPods work fine with my (older) MacBook Air and my new iPhone 13 Pro.
• I've made sure that all items are properly charged, re-started the computer, "forgot" and re-paired the AirPods to my MacBook Pro and made sure that all software is up to date.
• When the MacBook Pro and the AirPods Pro "connect" and do this typical "connecting-sound", the sound comes from both AirPods. But anything I try to listen to afterwards - Music, Movies, YouTube or Podcasts - comes out from only the right AirPod.

Thank you for the help you may give.

Cheers,

Max