ui: Adjusted video layout when Sidebar opens

[gupta-soham]

• Implements a SidebarProvider for managing Sidebar state and transitions
• Implements smooth transitions using framer-motion
• Adjusts video layout automatically when the sidebar opens

Checklist before requesting a review

• [x] I have performed a self-review of my code
• [x] I assure there is no similar/duplicate pull request regarding same issue

Before

After

https://github.com/user-attachments/assets/29d363de-bf56-4d36-bdee-60c37fc26d99