Fix type errors in BudgetContext

Addresses type errors related to category budgets in BudgetContext and Index page. Specifically, ensures correct type assignment for category budget updates.

src/components/BudgetProgressCard.tsx

@@ -2,6 +2,7 @@
 import React from 'react';
 import { Tabs, TabsContent, TabsList, TabsTrigger } from '@/components/ui/tabs';
 import BudgetTabContent from './BudgetTabContent';
+import { BudgetPeriod } from '@/contexts/BudgetContext';
 
 interface BudgetData {
   targetAmount: number;
@@ -9,12 +10,6 @@ interface BudgetData {
   remainingAmount: number;
 }
 
-interface CategoryBudget {
-  식비: number;
-  생활비: number;
-  교통비: number;
-}
-
 interface BudgetProgressCardProps {
   budgetData: {
     daily: BudgetData;
@@ -25,7 +20,7 @@ interface BudgetProgressCardProps {
   setSelectedTab: (value: string) => void;
   formatCurrency: (amount: number) => string;
   calculatePercentage: (spent: number, target: number) => number;
-  onSaveBudget: (type: 'daily' | 'weekly' | 'monthly', amount: number, categoryBudgets?: CategoryBudget) => void;
+  onSaveBudget: (type: BudgetPeriod, amount: number, newCategoryBudgets?: Record<string, number>) => void;
 }
 
 const BudgetProgressCard: React.FC<BudgetProgressCardProps> = ({