fix(docs): synchronize Design Lab appearance settings

[lilbuda]

Summary

Synchronize theme selection between menu and design lab.

Type of change

• Fix
• Feature
• Documentation
• Refactor or performance improvement
• Build, CI, test, or maintenance

Verification

• npm run check:versions
• npm run build:lib
• npm run build:mcp
• npm run test:lib
• npm run test:mcp
• npm run build:docs
• I tested relevant keyboard and responsive behavior.
• I tested relevant light, dark, palette, density, corner-style, and RTL behavior.

Public contract

• Tests cover the changed behavior.
• Documentation and displayed example code match the actual API.
• Accessibility behavior is implemented and documented accurately.
• This change introduces no dependency or asset with undocumented licensing.
• This change is backward compatible, or the breaking change and migration are clearly marked.

Visual evidence

Add screenshots or recordings for visual changes. Include narrow viewport and alternate-theme
evidence when relevant. Write Not applicable when the change has no visual effect.

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Project	Deployment	Actions	Updated (UTC)
aeris-ui	Ready	Preview, Comment	Jul 28, 2026 7:47pm