⚡ Live Sandbox: AI Dev Tool: PostgreSQL Vector Search (bi3z)

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```python
# AI Dev Tool: FastAPI Pydantic v2 Micro-SaaS Starter
# ================================================
# A production-ready starter boilerplate for building micro-SaaS applications
# using FastAPI, Pydantic v2, and PostgreSQL Vector Search Extension.

from fastapi import FastAPI, Depends, HTTPException
from fastapi.security import HTTPBearer, HTTPAuthorizationCredentials
from pydantic import BaseModel, Field
from pydantic.errors import ListError
from typing import List, Optional
from psycopg2 import connect, Error
from psycopg2.extras import DictCursor
from datetime import datetime

# Initialize the FastAPI application
app = FastAPI()

# Define the security scheme for authentication
security = HTTPBearer()

# Define the PostgreSQL database connection settings
DB_HOST = "localhost"
DB_NAME = "micro_saaS"
DB_USER = "postgres"
DB_PASSWORD = "password"

# Define the Pydantic models for data validation
class User(BaseModel):
    """User model"""
    id: int = Field(..., description="User ID")
    name: str = Field(..., description="User name")
    email: str = Field(..., description="User email")

class Item(BaseModel):
    """Item model"""
    id

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