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```python
# AI Dev Tool: FastAPI Pydantic v2 Micro-SaaS Boilerplate with PostgreSQL Vector Search Extension
# =================================================================================================
# This is a production-ready starter boilerplate for building micro-SaaS applications using FastAPI, Pydantic v2, and PostgreSQL.
# It includes a PostgreSQL Vector Search Extension for efficient search functionality.

from fastapi import FastAPI, HTTPException
from pydantic import BaseModel
from typing import List, Optional
from psycopg2 import connect, Error
from psycopg2.extras import DictCursor
from datetime import datetime

# Define the FastAPI application
app = FastAPI(title="Micro-SaaS Boilerplate", description="A production-ready starter boilerplate for building micro-SaaS applications.")

# Define the PostgreSQL database connection settings
POSTGRES_HOST = "localhost"
POSTGRES_DB = "micro_saaS"
POSTGRES_USER = "postgres"
POSTGRES_PASSWORD = "password"

# Define the Pydantic models for the application
class User(BaseModel):
    id: int
    name: str
    email: str

class SearchQuery(BaseModel):
    query: str

# Define the PostgreSQL Vector Search Extension functions
def create_vector_search_table():
    try:
        conn = connect(
            host

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