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```python
# AI Dev Tool: FastAPI Pydantic v2 Micro-SaaS Boilerplate
# ================================================
# This is a production-ready boilerplate for building micro-SaaS applications
# using FastAPI and Pydantic v2.

from fastapi import FastAPI, HTTPException
from pydantic import BaseModel
from typing import List, Optional
import uvicorn
import sqlite3
from sqlite3 import Error

# Initialize the FastAPI app
app = FastAPI()

# Define a Pydantic model for the budget cap
class BudgetCap(BaseModel):
    id: int
    name: str
    limit: float

# Define a Pydantic model for the expense
class Expense(BaseModel):
    id: int
    name: str
    amount: float
    budget_cap_id: int

# Create a SQLite database connection
def create_connection():
    conn = None
    try:
        conn = sqlite3.connect("budget.db")
        return conn
    except Error as e:
        print(e)

# Create the budget caps table
def create_budget_caps_table(conn):
    sql = """CREATE TABLE IF NOT EXISTS budget_caps (
                id integer PRIMARY KEY,
                name text NOT NULL,
                limit real NOT

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