Summary

Update the applies_to badge and popover according to new designs. @florent-leborgne has outlined all requirements in this doc (sorry, Elastic access only).

Related issues

• [Feature Request]: LLM readable applies_to #1589 (LLM MD implementation)
• Support applies_to in additional directives/components #1436 (custom directive implementation)
• Implement multiple lifecycle state logic #1435 (removing burden of ordering from writers)