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I would just create a Circle with the Ellipse Tool.
Get it set up how you want with the look in the Essential Graphics Panel.
Then Duplicate it (right click the layer and choose Duplicate, or copy and paste - CTRL/CMD C, CTRL/CMD V). Increase the Width and Height of the second circle:
(Note: you can use scale but it will also affect the size of the stroke. The W and H settings will leave the stroke size matching the first circle.)
You should now have your double circle. You can move it around with the Vector Motion parameters in Effect Controls (or put them in a folder inside of Essential Graphics and you can move them around together with that as well.)