feat: 添加 API 客户端以处理 basePath 并更新所有 fetch 调用

移除 next.config.js 中的 standalone 输出配置，添加 lib/api-client.ts 封装 fetch 请求，
自动为所有 API 调用添加配置的 basePath。更新所有页面和组件中的 fetch 调用以使用新的 fetchApi 函数，
确保在部署到子路径时 API 请求能正确工作。同时调整 tsconfig.json 的格式并修复项目创建时的字段名。

components/init-wizard.tsx

@@ -4,6 +4,7 @@ import { useState } from 'react';
 import { Button } from '@/components/ui/button';
 import { Card, CardContent, CardDescription, CardHeader, CardTitle } from '@/components/ui/card';
 import { Target, Loader2, Sparkles, CheckCircle } from 'lucide-react';
+import { fetchApi } from '@/lib/api-client';
 
 interface InitWizardProps {
   onComplete: () => void;
@@ -19,7 +20,7 @@ export function InitWizard({ onComplete }: InitWizardProps) {
     setError(null);
 
     try {
-      const res = await fetch('/api/seed', { method: 'POST' });
+      const res = await fetchApi('/api/seed', { method: 'POST' });
       const data = await res.json();
 
       if (!res.ok) {

components/task-edit-dialog.tsx

@@ -30,6 +30,7 @@ import {
   AlertDialogTitle,
   AlertDialogTrigger,
 } from '@/components/ui/alert-dialog';
+import { fetchApi } from '@/lib/api-client';
 
 const taskSchema = z.object({
   title: z.string().min(1, '计划标题不能为空'),
@@ -145,7 +146,7 @@ export function TaskEditDialog({
       const url = task ? `/api/tasks/${task.id}` : '/api/tasks';
       const method = task ? 'PATCH' : 'POST';
       
-      const taskRes = await fetch(url, {
+      const taskRes = await fetchApi(url, {
         method,
         headers: { 'Content-Type': 'application/json' },
         body: JSON.stringify({
@@ -193,7 +194,7 @@ export function TaskEditDialog({
       const localSteps = steps.filter(s => s.id.startsWith('temp-'));
       if (localSteps.length > 0) {
         await Promise.all(localSteps.map(step => 
-          fetch('/api/task-steps', {
+          fetchApi('/api/task-steps', {
             method: 'POST',
             headers: { 'Content-Type': 'application/json' },
             body: JSON.stringify({
@@ -223,7 +224,7 @@ export function TaskEditDialog({
     
     try {
       setIsDeletingTask(true);
-      await fetch(`/api/tasks/${task.id}`, { method: 'DELETE' });
+      await fetchApi(`/api/tasks/${task.id}`, { method: 'DELETE' });
       toast.success('计划已删除');
       onSuccess();
       onOpenChange(false);
@@ -241,7 +242,7 @@ export function TaskEditDialog({
     // If task exists, save step to DB immediately
     if (task) {
       try {
-        const res = await fetch('/api/task-steps', {
+        const res = await fetchApi('/api/task-steps', {
           method: 'POST',
           headers: { 'Content-Type': 'application/json' },
           body: JSON.stringify({
@@ -295,7 +296,7 @@ export function TaskEditDialog({
     }
 
     try {
-      const res = await fetch('/api/task-steps', {
+      const res = await fetchApi('/api/task-steps', {
         method: 'PATCH',
         headers: { 'Content-Type': 'application/json' },
         body: JSON.stringify({
@@ -320,7 +321,7 @@ export function TaskEditDialog({
     }
 
     try {
-      const res = await fetch(`/api/task-steps?id=${stepId}`, { method: 'DELETE' });
+      const res = await fetchApi(`/api/task-steps?id=${stepId}`, { method: 'DELETE' });
       if (res.ok) {
         setSteps(steps.filter(s => s.id !== stepId));
       }

components/user-context.tsx

@@ -2,6 +2,7 @@
 
 import { createContext, useContext, useState, useEffect, useCallback, ReactNode } from 'react';
 import type { User } from '@/types/database';
+import { fetchApi } from '@/lib/api-client';
 
 interface UserContextType {
   currentUser: User | null;
@@ -26,7 +27,7 @@ export function UserProvider({ children }: { children: ReactNode }) {
 
   const refreshUsers = useCallback(async () => {
     try {
-      const res = await fetch('/api/users');
+      const res = await fetchApi('/api/users');
       if (res.ok) {
         const data = await res.json();
         setUsers(data);
@@ -40,7 +41,7 @@ export function UserProvider({ children }: { children: ReactNode }) {
 
   const refreshMe = useCallback(async () => {
     try {
-      const meRes = await fetch('/api/auth/me', { cache: 'no-store' });
+      const meRes = await fetchApi('/api/auth/me', { cache: 'no-store' });
       const meData = await meRes.json().catch(() => ({}));
       const me = meData?.user as User | null | undefined;
 
@@ -109,7 +110,7 @@ export function UserProvider({ children }: { children: ReactNode }) {
     setCurrentUser(null);
     setIsAuthenticated(false);
     setUsers([]);
-    fetch('/api/auth/logout', { method: 'POST' }).catch(() => {});
+    fetchApi('/api/auth/logout', { method: 'POST' }).catch(() => {});
   }, []);
 
   return (