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```python
# AI Dev Tool: FastAPI Pydantic v2 Micro-SaaS with PostgreSQL Vector Search Extension
# ==============================================================================
# This is a production-ready developer code asset for building high-performance Micro-SaaS applications.
# It combines the power of FastAPI, Pydantic v2, and PostgreSQL Vector Search Extension.

from fastapi import FastAPI, HTTPException
from pydantic import BaseModel
from typing import List
import psycopg2
import psycopg2.extras
import json

# Define the FastAPI application
app = FastAPI()

# Define the Pydantic model for the data
class DataModel(BaseModel):
    id: int
    name: str
    description: str

# Define the PostgreSQL database connection settings
DB_HOST = "localhost"
DB_NAME = "mydatabase"
DB_USER = "myuser"
DB_PASSWORD = "mypassword"

# Establish a connection to the PostgreSQL database
def connect_to_db():
    try:
        conn = psycopg2.connect(
            host=DB_HOST,
            database=DB_NAME,
            user=DB_USER,
            password=DB_PASSWORD
        )
        return conn
    except psycopg2.OperationalError as e:
        raise HTTPException(status_code=500, detail=f"Failed to connect

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