[Insighy extractor] Feature: Resizable Right-Hand Panel

### 🎨 Feature: Resizable Right-Hand Panel

**User Story**
As a user, I want to be able to drag and resize the right-hand panel (chat/insights panel) so I can adjust how much space the PDF vs. the chat takes up, depending on my workflow.

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### 📝 Current Behavior
- The right-hand panel has a fixed width.
- Users cannot resize it.
- On smaller screens, the panel can take up too much space or not enough.

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### 🎯 Expected Behavior
- Right-hand panel should be **resizable by dragging its left border**.
- Default size remains as it is now.
- Users can drag to make it wider or narrower.
- The PDF/content area should automatically adjust to fill the remaining space.
- The chosen width should persist during the session (optional: save in local storage for user preference).

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### ✅ Acceptance Criteria
- [ ] User can click and drag the divider between PDF and chat panel.
- [ ] Panel smoothly resizes without breaking layout.
- [ ] Panel width stays within sensible min/max limits (e.g., min 250px, max 50% of screen).
- [ ] Resizing works across all supported browsers.
- [ ] Resizing works across different screen sizes (desktop, tablet).
- [ ] (Optional) Width preference persists per user session.

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### 🔨 Task Breakdown
- [ ] **Frontend**
- Add draggable divider between PDF viewer and chat panel.
- Implement resize logic with min/max constraints.
- Update layout to re-render dynamically as width changes.
- (Optional) Save width to local storage and reload on next visit.