Not sure how to change these lightbulbs. What is this lighting system?
What is this “bulb” of which you speak?  :)
The “multiple color temperature” switch indicates this is LED lighting.
LED is a semiconductor technology for making light.
Like most semiconductors, they are extremely reliable and do not wear out.  (Calamities do happen, but usually, they happen to the support circuitry; I’m looking at you, capacitors.)
The computer industry learned in the 1970s that when semiconductors are socketed, the socket itself becomes far-and-away the most common point of failure. As such, 99% of semiconductors are soldered to the circuit board, to eliminate that #1 point of failure.
LED emitters are no exception. They will outlast you and I, and there is no earthly reason to socket one.  (Mind you the LED fixture, or screw-in Edison replacement “bulb” which is a mini-fixture of its own, may not have that longevity... but when it fails, it’ll be capacitors in the electronic driver failing or the RoHS solder crystallizing, not the LED emitter failing.
So there is no reason for an LED emitter to be removable.
In particular, noting that the color temp switch is outside the emitter area, it goes without saying those things are hard-wired to each other.