how to stop limb ik/draggable from making bends fuzzy

The blurriness when you bend the image is due to the specifications because you are forcing the image to expand.
However, there are ways to improve it.

What application are you using to create your puppets?
If Adobe Photoshop, try using a higher resolution than you are using now.

If you use Adobe Illustrator, try the “Render as Vector” feature.

as you can see the bend in his right arm is fuzzy