Put on safety glasses and use an electric drill with an appropriate drill bit. If the drill has hammer action available then you probably want to disable it.

If the screw's material is tougher than the ball then you might be able to grind the ball down.

If the screw's material is weaker than the ball then you may be able to drill through it to release the accessory. This may not always be worthwhile, e.g. if the mount is an integral part of the accessory, and/or the screw is not easily replaced (perhaps an obscure thread).

A vacuum cleaner might help manage the dust.

I think this may be better than using a center punch because the process is progressive rather abrupt and therefore easier to control.

My only concern is that in some circumstances you might accidentally launch/eject the ball at high speed in a random direction but a similar risk may exist if using the center punch.

Put on safety glasses and use an electric drill with an appropriate drill bit. If the drill has hammer action available then you probably want to disable it.

If the screw's material is tougher than the ball then you might be able to grind the ball down.

If the screw's material is weaker than the ball then you may be able to drill through it to release the accessory. This may not always be worthwhile, e.g. if the mount is an integral part of the accessory, and/or the screw is not easily replaced (perhaps an obscure thread).

A vacuum cleaner might help manage the dust.

I think this may be better than using a center punch because the process is progressive rather than abrupt and therefore it is easier to control.

My only concern is that in some circumstances you might accidentally launch/eject the ball at high speed in a random direction but a similar risk may exist if using the center punch.