Replace all custom `bg-*` utility classes across Vue components with Tailwind's arbitrary hex color notation (e.g. `bg-[#f7f7f7]`). Remove redundant hardcoded background color definitions from src/static/scss/background.scss, clean up template formatting, and update gradient button styles to use direct hex values.
remove deprecated unused component implementations, their image assets, prompt, README, demo and style sheet files
update AGENTS.md to remove references to the removed components and refine the project's style guidance
