Part of #34284.
Applies the design changes specified by @ciampo in order to try to match what was proposed in the mockups:

• Adjust the white border on the circle controls to match design (compare storybook with design mockup).
• The input padding is off, not sure if this is something we need to affect on all inputs or we can just start with the input + slider case.
• Spacing between slider and input is off.
• Use the new settings icon from wp/icons.
• the color format dropdown should be rendered without borders (not sure how we want to handle this at the component level since it should be an optional thing used rarely)
• Adjust circular handle of slider since it's too big compared to designs

Description

Screenshots

Before:

After: