It is important to understand that the difference between inertial vs. non-inertial frames is not simply a matter of geometry - it is something physical, which needs to be detected.
So, in this reference frame not only are there time varying centrifugal and Coriolis forces, there is also the Euler force. This is a messy reference frame.Let's start from the beginning.
I am sitting on my office chair (not rotating) and seeing the star in front of me.
The star is not moving.
Now I begin to rotate on my office chair.
Yes, however energy is not conserved in this frame, so creating it is not really a big deal. You won’t be able to do anything with this energy.Does the star now have kinetic energy?
Did I create a huge amount of energy just be rotating on my office chair?