Is the Sun fixed in space?

 https://www.howitworksdaily.com/is-the-sun-fixed-in-space/#:~:text=First%2C%20it%20is%20not%20stationary,such%20as%20all%20the%20planets.&text=Beyond%20this%2C%20the%20Sun%20is,take%20about%20230%20million%20years.