Using the Zodiac 5098 Relay Splitter to Combine Lights

All lights are colored.
Yeah the lights seem to power cycle when changing color (they cycle through the colors)

They are Jandy colored lights.

Right but which ones? The regular watercolors work off a simple switch (relay) but the infinite watercolors do not.

 
You should be able to connect both lights to the same power.

Even if the lights cycle, the step lights will just blink for a few seconds.

Note: Do not do anything unless you are 100% sure that you know exactly what you are doing.

I recommend that you have an electrician review the plans before and the installation before using the lights.