feat: Add new analysis documents and update installation scripts for backend integration

This commit introduces several new analysis documents, including Auto-Match Load Performance Analysis, Folder Picker Analysis, Monorepo Migration Summary, and various performance analysis documents. Additionally, the installation scripts are updated to reflect changes in backend service paths, ensuring proper integration with the new backend structure. These enhancements provide better documentation and streamline the setup process for users.

start_backend.sh

@@ -0,0 +1,30 @@
+#!/bin/bash
+# Start FastAPI backend server
+
+cd "$(dirname "$0")"
+
+# Use explicit Python path to avoid Cursor interception
+PYTHON_BIN="/usr/bin/python3"
+
+if [ ! -f "$PYTHON_BIN" ]; then
+    echo "❌ Python3 not found at $PYTHON_BIN"
+    exit 1
+fi
+
+# Activate virtual environment if it exists
+if [ -d "venv" ]; then
+    source venv/bin/activate
+fi
+
+# Set Python path
+export PYTHONPATH="$(pwd)"
+
+echo "🚀 Starting FastAPI server on http://127.0.0.1:8000"
+echo "📖 API docs available at http://127.0.0.1:8000/docs"
+echo ""
+echo "Press Ctrl+C to stop"
+echo ""
+
+# Use explicit Python path
+"$PYTHON_BIN" -m uvicorn backend.app:app --host 127.0.0.1 --port 8000 --reload
+