Add product search functionality

[snishant0]

Description

Implement a comprehensive product search feature that allows users to find products quickly and efficiently by name and category.

Acceptance Criteria

Search by Name

• Users can enter text in a search input field to search for products by name
• Search should be case-insensitive
• Search should support partial matches (e.g., searching 'Smart' finds 'SmartFeeder One')
• Search results should update in real-time as the user types (with appropriate debouncing)
• Display a 'No results found' message when search yields no matches

Search by Category

• Users can filter products by category/type (e.g., Feeders, Entertainment, Health Monitoring, Accessories)
• Category filter should be easily accessible (dropdown, chips, or sidebar)
• Multiple categories can be selected simultaneously (optional enhancement)
• Category filter should work in combination with text search

User Experience

• Search input should have a clear/reset button to quickly clear the search
• Search icon should be visible next to the input field
• Loading state should be shown while search results are being fetched (if async)
• Previous search query should persist when navigating back to the products page
• Display count of search results (e.g., 'Found 5 products')

Performance

• Search should be performant with large product catalogs
• Implement debouncing (250-300ms) to avoid excessive API calls
• Consider client-side filtering for initial implementation if dataset is small

Technical Implementation

• Add search parameter to URL query string for shareable search links
• API endpoint should support search and filter parameters
• Implement proper error handling for failed search requests
• Add appropriate ARIA labels for accessibility