feat(arayüz): API istemcisi, TanStack Query, ts-rs tip üretimi ve oturum durumu

- Backend: ts-rs ile DTO'lardan TypeScript tipleri (frontend/src/types, npm run types)
- Hata ve health yanıtları tipli yapılara çevrildi
- lib/api.ts: tek API istemcisi, Türkçe ApiError, ağ hatası mesajı
- lib/query.ts: QueryClient (4xx tekrar denenmez, 401 → oturum kapanır)
- lib/auth.ts: useMe, useLogin, useRegister, useLogout
- Vitest: 7 API istemcisi testi (toplam 29)

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>

backend/src/routes/household.rs

@@ -11,6 +11,7 @@ use axum::{
 };
 use mongodb::bson::{DateTime, Uuid, doc};
 use serde::{Deserialize, Serialize};
+use ts_rs::TS;
 
 use crate::{
     auth::AuthUser,
@@ -21,14 +22,16 @@ use crate::{
     state::AppState,
 };
 
-#[derive(Serialize)]
+#[derive(Serialize, TS)]
+#[ts(export, rename = "Household")]
 pub struct HouseholdResponse {
     id: String,
     name: String,
     members: Vec<MemberDto>,
 }
 
-#[derive(Serialize)]
+#[derive(Serialize, TS)]
+#[ts(export, rename = "Member")]
 struct MemberDto {
     id: String,
     name: String,
@@ -36,7 +39,8 @@ struct MemberDto {
     role: Role,
 }
 
-#[derive(Serialize)]
+#[derive(Serialize, TS)]
+#[ts(export, rename = "Invite")]
 pub struct InviteDto {
     id: String,
     code: String,