⚡ Live Sandbox: AI Dev Tool: AGENTSmd AINative SaaS Template

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```python
# AI Dev Tool: FastAPI Pydantic v2 Micro-SaaS with PostgreSQL Vector Search Extension
# ==============================================================================
# This is a high-demand, production-ready developer code asset for building
# scalable and efficient micro-SaaS applications using FastAPI, Pydantic v2,
# and PostgreSQL Vector Search Extension.

import os
import uvicorn
from fastapi import FastAPI, Depends, HTTPException
from fastapi.security import OAuth2PasswordBearer, OAuth2PasswordRequestForm
from pydantic import BaseModel, Field
from sqlalchemy import create_engine, Column, Integer, String
from sqlalchemy.ext.declarative import declarative_base
from sqlalchemy.orm import sessionmaker
from sqlalchemy.exc import IntegrityError
from psycopg2.extras import Json

# Initialize FastAPI application
app = FastAPI()

# Define OAuth2 password bearer
oauth2_scheme = OAuth2PasswordBearer(tokenUrl="token")

# Define database connection
SQLALCHEMY_DATABASE_URL = os.environ.get("DATABASE_URL")
engine = create_engine(SQLALCHEMY_DATABASE_URL)
SessionLocal = sessionmaker(autocommit=False, autoflush=False, bind=engine)
Base = declarative_base()

# Define user model
class User(Base):
    __tablename__ = "users"

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