[Site]: Fix Plugin Icons Display and Enhance Plugins Page Functionality

### Current State

## Issue Description
The **Plugins Page** has issues with **icon display** and **responsiveness**, causing inconsistent visuals and a poor user experience.

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## Problem
- Plugin icons are not loading or displaying correctly.
- Layout breaks on smaller screens.
- UI feels inconsistent and unresponsive across devices.

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## Expected Behavior
- All plugin icons should render properly.
- The layout should remain responsive on all screen sizes.
- User experience should be smooth and consistent.

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## Possible Cause
- Icon rendering logic in `plugin-icon.js` may be outdated or broken.
- Missing responsive styles in `plugins.tsx`.

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## Suggested Fix
- Update the **icon rendering logic** in JavaScript.
- Improve **the responsive design** of plugin cards.
- Optimize **loading mechanism** for icons.

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## Files to be Modified
- `website/static/js/plugin-icon.js`
- `website/src/pages/plugins.tsx`

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## Screenshots of the Change

### **Before Changes**

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### **After Changes**

### Desired State

**Description of the change you are proposing**:

This update fixes the **plugin icon rendering** and **UI responsiveness** issues on the Plugins Page.

### What’s Fixed
- Corrected plugin icon loading and rendering logic in `plugin-icon.js`.
- Improved responsive design for plugin cards in `plugins.tsx`.
- Enhanced overall layout and visual consistency across browsers.
- Optimized the icon loading mechanism for better performance.

### Expected Outcome
- Plugin icons display consistently across all browsers.
- The plugins page remains fully responsive on mobile and desktop.
- Improved user experience and smoother UI behavior.

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### Would you like to fix this issue?

Yes! Count me in

Start by inspecting website/static/js/plugin-icon.js and website/src/pages/plugins.tsx to trace icon loading and the plugin-card layout. Check the Plugins Page at mobile and desktop widths; done means icons render consistently and the layout remains responsive across the stated screen sizes and browsers.

Written by the indexing model from the issue text.