Please help: Ikea Styrbar 4 button remote via z2m to control the brightness and white temperature of two light groups?

I have an Ikea Styrbar 4-button remote integrated into home assistant via MQTT.

In my kitchen, I have two light groups; I want to achieve the following:

Up Button Click: Toggle ceiling light group
Down Click: Toggle led strip over kitchen sink
Hold Up: Increase brightness for all lamps that are on
Hold Down: Decrease Brightness for all lamps that are on
Hold Left: Decrease white temperature for all lamps that are on (also set them to white mode in case they were set to another mode via phone)
Hold Right: Increase white temperature for all lamps that are on (also set them to white mode in case they were set to another mode via phone)

How to best achieve this? I found the light service does not offer steps for setting the color temperature?

I also found E2002 - ControllerX

But I did not manage to adjust white temperature with it yet…Just color temperature. Also, the toggling seems not easy.