Replaces the plain signed-out flyout with a polished layout featuring:
- Gradient hero header with account icon and descriptive text
- Two benefit cards (sync settings, unlock add-ons) matching dialog patterns
- Equal-width Sign In (accent) and Register buttons
- Redesigned signed-in view with gradient profile header and larger avatar
- New translation keys for flyout benefit card content
https://claude.ai/code/session_019YP6uNe52Wo3SMuqz6w8QE
