- Remove ExecutionModeBadge import and usage
- Update filtering logic to use server_name presence instead of execution_mode
- Simplify update script logic by removing mode property
- Update Terminal component call to determine mode based on server presence
- Replace ExecutionModeBadge in table with simple text display
- Maintain backend API compatibility by keeping execution_mode in mutations
- Use nullish coalescing operator (??) for better null handling
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