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```python
# AI Dev Tool: Vector Search API Integration Wrapper
# PostgreSQL Vector Search Extension Integration with FastAPI and Supabase

from fastapi import FastAPI, HTTPException
from fastapi.responses import JSONResponse
from fastapi.requests import Request
from supabase import create_client, Client
from typing import List, Dict
import os
import logging

# Initialize Logger
logging.basicConfig(level=logging.INFO)
logger = logging.getLogger(__name__)

# Initialize FastAPI App
app = FastAPI(title="Vector Search API Integration Wrapper",
              description="PostgreSQL Vector Search Extension Integration with FastAPI and Supabase",
              version="1.0.0")

# Initialize Supabase Client
SUPABASE_URL = os.environ.get("SUPABASE_URL")
SUPABASE_KEY = os.environ.get("SUPABASE_KEY")
supabase: Client = create_client(SUPABASE_URL, SUPABASE_KEY)

# Define Vector Search API Endpoints
@app.post("/vector_search/")
async def vector_search(query: str, limit: int = 10):
    """
    Perform vector search on the database.

Args:
    - query (str): The search query.
    - limit (int): The number of results to return. Defaults to 10.

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