Prevent "Pinching" of this beam

I’m just trying to create a circle which is flat on the same plane as it’s direction. One of the beams works perfectly but the other seems to have these pinch points. Right now my solutions seems like it’s going to be for me to double up on attachments and inverse them but I would rather find a way to make this work using just 2 beams and 2 attachments

Here’s an example to play with to see my issue
BeamProblems.rbxm (3.1 KB)

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Don’t use beams for this, as when the user decreases their graphics level, it will turn into a box.

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It’s for a plugin so I don’t care, There’s not an alternative for my use case anyways.

When I made something like this, the only solution I could find was to create two additional Attachments and tweak their orientation.