The description of this game describes it as having six degrees of freedom. The physicist and chemist in me are sceptical.
A rigid object moving in three dimensions has five degrees of freedom: Three translational degrees of freedom (i.e. forwards/backwards, left/right, up/down) Two rotational degrees of freedom (e.g. pitch and roll)
The third axis of rotation is not a degree of freedom. For example, any rotation of yaw can be achieved instead by a combination of pitching and rolling. If you want to yaw by 45deg, you can instead roll right 90deg, pitch up 45deg, and then roll left 90deg. Similarly, a rotation of pitch can be achieved by a combination of yaw and roll, or a rotation of roll can be achieved by a combination of pitch and yaw. The definition of a degree of freedom necessitates that a transformation of that degree of freedom cannot be performed by a combination of the other degrees of freedom. This means that there are only two rotational degrees of freedom, despite there being three axes of rotation.
There are three axes of rotation. There are only two rotational degrees of freedom.