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How To Apply A Single Gradient Fill Color To A Multipart Feature

So I have an indicatrix covering a world map for the purpose of illustrating distortions for different projections. I want the circles of the indicatrix to share the same gradient fill color, as opposed to each having their own individual gradient fill. To clarify, here is a picture of the indicatrix: https://imgur.com/TmV5lnq

Notice that each circle has its own individual gradient fill. What I want to do is have QGIS treat them all as part of the same shape, so that a single gradient fill is spread out across them all. To visualize this, take the gradient fill for this circle: https://imgur.com/s0jI5F7

...and then use the indicatrix to "clip" the circle without actually changing the fill. (I literally tried this already fyi. Just creates an visually identical shapefile to the indicatrix.)

I figured all I had to do was dissolve my indicatrix shapefile to a single feature and it would replicate this result, but apparently the issue is more complex than that. Can anyone enlighten me?

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