🏓 Initial ServeSync demo build

- FastAPI backend with PostgreSQL + Redis
- 4 core features: Registration, Courts, Matchmaking, Tournament
- Double elimination tournament with bracket visualization
- ELO-based matchmaking (Stage 1 Open, Stage 2 Skill-Based)
- Real-time WebSocket updates
- TV Screen display for courts
- Vue 3 + Tailwind CSS frontend
- Seed data: 12 players, 4 courts, active matches, tournament in progress
- Docker compose stack with Nginx reverse proxy

nginx/nginx.conf

@@ -0,0 +1,45 @@
+upstream backend {
+    server backend:8000;
+}
+
+upstream frontend {
+    server frontend:80;
+}
+
+server {
+    listen 80;
+    server_name _;
+    client_max_body_size 20M;
+
+    # Backend API
+    location /api/ {
+        proxy_pass http://backend;
+        proxy_set_header Host $host;
+        proxy_set_header X-Real-IP $remote_addr;
+        proxy_set_header X-Forwarded-For $proxy_add_x_forwarded_for;
+        proxy_read_timeout 300s;
+    }
+
+    # WebSocket
+    location /ws/ {
+        proxy_pass http://backend;
+        proxy_http_version 1.1;
+        proxy_set_header Upgrade $http_upgrade;
+        proxy_set_header Connection "upgrade";
+        proxy_set_header Host $host;
+        proxy_read_timeout 86400s;
+    }
+
+    # Health check
+    location /health {
+        proxy_pass http://backend;
+    }
+
+    # Frontend
+    location / {
+        proxy_pass http://frontend;
+        proxy_set_header Host $host;
+        proxy_set_header X-Real-IP $remote_addr;
+        proxy_read_timeout 60s;
+    }
+}