⚡ Live Sandbox: AI Dev Tool: FastAPI Pydantic v2 (0rab)

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```python
# AI Dev Tool: FastAPI Pydantic v2 Micro-SaaS Boilerplate with PostgreSQL Vector Search Extension
# ==================================================================================================
from fastapi import FastAPI, HTTPException
from fastapi.responses import JSONResponse
from pydantic import BaseModel
from typing import List, Optional
import psycopg2
from psycopg2 import Error
import uvicorn
from fastapi.middleware.cors import CORSMiddleware

# Define the FastAPI application
app = FastAPI()

# Enable CORS
app.add_middleware(
    CORSMiddleware,
    allow_origins=["*"],
    allow_credentials=True,
    allow_methods=["*"],
    allow_headers=["*"],
)

# Define the PostgreSQL connection settings
POSTGRES_HOST = "localhost"
POSTGRES_DB = "mydatabase"
POSTGRES_USER = "myuser"
POSTGRES_PASSWORD = "mypassword"

# Define the Pydantic model for the search query
class SearchQuery(BaseModel):
    query: str

# Define the Pydantic model for the search result
class SearchResult(BaseModel):
    id: int
    title: str
    description: str

# Define the route for the vector search
@app.post("/search", response_model=List[SearchResult])
async def vector

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