I must apologize for a typo in my post. The correct term is "Blink'n'Dim", NOT "Blink'n'Sim", and especially not "Blink and Sim". 0-10V Blink'n'Dim Adapters are sold in two versions on Amazon: with and without the required small 12V power supply. If you buy the power supply separately, a Mean Well model APV-8-12 is recommended.
If I understand your job description correctly, you will have 3 separate groups of lights, each switched via 3-way switches. You will need one Blink'n'Dim Adapter for each group. Within each group, connect all Dim+ control wires to the Violet wire of the Blink'n'Dim Adapter, and all Dim- control wires to the Gray wire. If it is not feasible to connect all control wires within a group, you can use a separate Blink'n'Dim Adapter for any than cannot be connected. A brief signal from the power switch resets all adapters on the same switch so they will dim and brighten together.