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```python
# AI Dev Tool: FastAPI + Supabase + PostgreSQL Vector Search Extension
# Production Starter Boilerplate for AI-Native SaaS Applications
import os
import uvicorn
from fastapi import FastAPI, Depends
from fastapi.security import HTTPBearer, HTTPAuthorizationCredentials
from supabase import create_client, Client
from pydantic import BaseModel
from typing import List, Optional
# Initialize FastAPI App
app = FastAPI()
# Initialize Supabase Client
SUPABASE_URL = os.environ.get("SUPABASE_URL")
SUPABASE_KEY = os.environ.get("SUPABASE_KEY")
supabase: Client = create_client(SUPABASE_URL, SUPABASE_KEY)
# Initialize PostgreSQL Vector Search Extension
VECTOR_SEARCH_EXTENSION = "pg_vector"
# Define Authentication Scheme
security = HTTPBearer()
# ... full runnable version includes tests & documentation
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