Beats Studio 3 keeps disconnecting and connecting itself

if it was me then I would try to make the device forget the headset, and put the headset back into pairing mode and connect to it once more, if that did not help then I would test with connecting it with another device to verify if the headset is just defect in that manner.

if it does it on other devices you attempt to use it with then my logic deduction would be that the headset is defect

if it's still under warranty then I would read

Legal - Hardware Warranties - Apple

or reach out to their official support channels

 Get Support (apple.com)

And or

 Contact - Official Apple Support

And or

Contact - How to Contact Us - Apple

Or

Genius Bar Reservation and Apple

Support Options - Apple