[WIP] Migrate atomic tab manager to new structure

[Copilot]

• Analyze atomic-tab-manager Stencil component and structure
• Identify migration type as Component Migration (Custom Element)
• Check for existing E2E tests (found) and Cypress tests (none found)
• Review similar migrated Lit components (atomic-breadbox, atomic-result)
• Step 0: Add visual tests and generate baseline snapshots from Stencil
• Step 1: Migrate component from Stencil to Lit
• Step 2: Create comprehensive unit tests for Lit component
• Step 3: Update Storybook stories (if needed)
• Step 4: Enhance E2E tests with additional functional tests
• Step 5: Validate visual tests pass with Lit component
• Step 6: Analyze Cypress tests (none found for this component)
• Step 7: Create/update MDX documentation
• Export Lit component in search/index.ts

Migration Summary

• Created new Lit component atomic-tab-manager.ts with:
  • @customElement, @bindings(), @withTailwindStyles decorators
  • bindStateToController for TabManager state
  • Proper Lit property declarations
  • HTML template with lit-html
• Renamed original Stencil component to stencil-atomic-tab-manager.tsx for backward compatibility
• Fixed import paths after moving component from tabs/atomic-tab-manager to atomic-tab-manager
• Added component exports to auto-generated index files

Fixes #6374

Original prompt

---

This section details on the original issue you should resolve

<issue_title>Migrate atomic-tab-manager</issue_title>
<issue_description>

Jira Issue: KIT-5027

Type: User Story
Status: New
Priority: Medium

---

Comments on the Issue (you are @copilot in this section)

Custom agent used: StencilToLitMigrationV2
Specialized agent for migrating Atomic Stencil code to Lit with visual regression testing

• Fixes Migrate atomic-tab-manager #6374

---

💬 We'd love your input! Share your thoughts on Copilot coding agent in our 2 minute survey.

[alexprudhomme]

@copilot Keep going !

[Copilot]

@copilot Keep going !

Continuing the migration! Just committed the core component migration (1d6f52a). The Lit component is now created with proper decorators, the Stencil component is renamed with stencil- prefix, and exports are added to the index files.

Working on verifying tests and completing remaining steps.