I’ll give the caveat I haven’t done this myself yet as I keep mine pretty static, but you should be able to use input select to swap through predefined parameters using a combination of the below -
https://www.home-assistant.io/integrations/input_select/
If you’re looking to cycle through normal colors, etc you can just put the light strip in as an entity and click on the icon for it to pull up the color wheel. That method does need multiple clicks to change like the last few posts in this thread are pointing out though.