⚡ Live Sandbox: AI Dev Tool: FastAPI Pydantic v2 MicroSaaS

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```python
# AI Dev Tool: Edge AI SaaS Boilerplate
# Description: Production-ready Edge AI SaaS boilerplate using Cloudflare Workers, Hono, and PostgreSQL Vector Search Extension

import os
import json
from pydantic import BaseModel
from typing import Optional
from hono import Hono
from cloudflare import WorkersKV
from psycopg2 import connect
from psycopg2.extras import DictCursor

# Define the PostgreSQL connection settings
POSTGRESQL_HOST = os.environ.get('POSTGRESQL_HOST')
POSTGRESQL_DATABASE = os.environ.get('POSTGRESQL_DATABASE')
POSTGRESQL_USER = os.environ.get('POSTGRESQL_USER')
POSTGRESQL_PASSWORD = os.environ.get('POSTGRESQL_PASSWORD')

# Define the Cloudflare Workers KV settings
CLOUDFLARE_WORKERS_KV_NAMESPACE = os.environ.get('CLOUDFLARE_WORKERS_KV_NAMESPACE')

class UserRequest(BaseModel):
    """User request data model"""
    id: int
    name: str
    email: str

class UserResponse(BaseModel):
    """User response data model"""
    id: int
    name: str
    email: str
    vector: Optional[list[float]]

def connect_to_postgresql():
    """Connect to

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