docs: update showcase pages to include demo video embeds

Author: kesku

docs/showcase/Ellipsis.mdx

@@ -100,8 +100,18 @@ REACT_APP_API_URL=http://your-backend-host:5000
 * **Content Evaluation**: Built-in pipelines for factual accuracy and legal compliance
 * **Podcast Publishing**: Direct integration with Podbean via MCP server
 
+## Demo Video
+
+<iframe
+  className="w-full aspect-video rounded-xl"
+  src="https://www.youtube.com/embed/XUPsSuCBTFw"
+  title="YouTube video player"
+  frameBorder="0"
+  allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture"
+  allowFullScreen
+></iframe>
+
 ## Links
 
 - [GitHub Repository](https://github.com/dineshkannan010/Ellipsis)
-- [Demo Video](https://www.youtube.com/watch?v=XUPsSuCBTFw)
 - [Devpost Submission](https://devpost.com/software/ellipsis) 

docs/showcase/citypulse-ai-search.mdx

@@ -59,5 +59,4 @@ The app uses structured JSON schemas to ensure consistent data formatting and in
 
 - [GitHub Repository](https://github.com/anevsky/CityPulse)
 - [Live Demo](https://citypulse-ppx.uc.r.appspot.com/)
-- [Video Demo](https://youtu.be/Y0UIhh3diJg)
 - **[Built with ❤️ by Alex Nevsky](https://alexnevsky.com)**

docs/showcase/cycle-sync-ai.mdx

@@ -36,7 +36,7 @@ Most apps overlook the hormonal changes that affect women's fitness and nutritio
 
 ## Repository Structure
 
-```
+```text
 CycleSyncAI.xcodeproj          → Xcode project file  
 CycleSyncAI/                   → Source code  
 ├── EatPlanViewController.swift        → Diet plan generation & display  

docs/showcase/fact-dynamics.mdx

@@ -50,12 +50,12 @@ flutter pub get
 
 ## Usage
 
-**Real-time Speech Fact-Checking:**
+### Real-time Speech Fact-Checking
 - Streams 5-second audio chunks through Flutter's `speech_to_text`
 - Sends transcribed snippets to Sonar API with structured prompts
 - Returns JSON with claims, ratings (TRUE/FALSE/MISLEADING/UNVERIFIABLE), explanations, and sources
 
-**Image Analysis:**
+### Image Analysis
 - Uploads images/URLs to Sonar API for text extraction
 - Verifies extracted claims against authoritative sources
 - Provides comprehensive analysis with source attribution
@@ -97,9 +97,19 @@ Built two reusable packages for the Flutter community:
 - **[perplexity_flutter](https://pub.dev/packages/perplexity_flutter)** - Flutter widgets and BLoC integration
 
 
+## Demo Video
+
+<iframe
+  className="w-full aspect-video rounded-xl"
+  src="https://www.youtube.com/embed/92IoX19Djtc"
+  title="YouTube video player"
+  frameBorder="0"
+  allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture"
+  allowFullScreen
+></iframe>
+
 ## Links
 
 - **[GitHub Repository](https://github.com/vishnu32510/fact_pulse)** - Full source code
 - **[Live Demo](https://fact-pulse.web.app/)** - Try the web version
-- **[Demo Video](https://youtu.be/92IoX19Djtc)** - Watch it in action
 - **[Devpost Submission](https://devpost.com/software/fact-dynamics)** - Hackathon entry 

docs/showcase/monday.mdx

@@ -72,10 +72,20 @@ npm run dev
 * **Content Curation**: YouTube API integration with smart keyword extraction for educational videos
 * **Accessibility**: Voice-first design with spatial audio and haptic feedback support
 
+## Demo Video
+
+<iframe
+  className="w-full aspect-video rounded-xl"
+  src="https://www.youtube.com/embed/BSN3Wp4uE-U"
+  title="YouTube video player"
+  frameBorder="0"
+  allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture"
+  allowFullScreen
+></iframe>
+
 ## Links
 
 - [GitHub Repository](https://github.com/srivastavanik/monday/tree/final)
-- [Live Demo](https://www.youtube.com/watch?v=BSN3Wp4uE-U)
 
 
 

docs/showcase/perplexity-flutter.mdx

@@ -50,12 +50,12 @@ const String perplexityApiKey = 'your_perplexity_api_key_here';
 
 ## Usage
 
-**Core API Integration:**
+### Core API Integration
 - Type-safe client with all Perplexity models (Sonar, Sonar Pro, Deep Research, Reasoning)
 - Streaming and non-streaming chat completions
 - Multimodal processing with flexible MessagePart system for text + images
 
-**Flutter Widget Layer:**
+### Flutter Widget Layer
 - `ChatWrapperWidget` for BLoC state management 
 - `PerplexityChatView` for real-time message display
 - `PerplexityChatInput` for user interaction handling
@@ -71,19 +71,17 @@ const String perplexityApiKey = 'your_perplexity_api_key_here';
 
 ## Architecture
 
-**Two-layer design:**
+### Two-layer design
 - **Core (`perplexity_dart`)** - Pure Dart API client for all platforms
 - **UI (`perplexity_flutter`)** - Flutter widgets + BLoC state management
 
 Uses flexible MessagePart system for multimodal content combining text and images.
 ## Links
 
-**Packages:**
+### Packages
 - [perplexity_dart on pub.dev](https://pub.dev/packages/perplexity_dart) | [GitHub](https://github.com/vishnu32510/perplexity_dart)
 - [perplexity_flutter on pub.dev](https://pub.dev/packages/perplexity_flutter) | [GitHub](https://github.com/vishnu32510/perplexity_flutter)
 
-**Examples:**
+### Examples
 - [Flutter Example App](https://github.com/vishnu32510/perplexity_dart/tree/main/example_flutter_app)
-- [Dart Examples](https://github.com/vishnu32510/perplexity_dart/tree/main/example)
-
-**Contributing:** Issues and PRs welcome on both repositories.
+- [Dart Examples](https://github.com/vishnu32510/perplexity_dart/tree/main/example)