feat(bütçe): aylık/haftalık bütçe, bütçe önerisi ve dönem özeti (backend)

- /api/periods/{id}/summary: gelir − sabit gider − birikim − devreden borç + artı = harcanabilir
- /api/periods/{id}/budget: 4 grup aylık; haftalar gün sayısına göre, toplam kuruşu kuruşuna eşit
- Elle hafta ayarı (kalan diğer haftalara dağılır), otomatiğe dönüş, aşım uyarısı
- Öneri: varsayılan yüzdeler / önceki dönem / son 3 dönem ortalaması
- Testler: orantılı bölme (3), bütçe entegrasyon (6)

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

frontend/src/types/BudgetSuggestion.ts

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+// This file was generated by [ts-rs](https://github.com/Aleph-Alpha/ts-rs). Do not edit this file manually.
+import type { GroupAmounts } from "./GroupAmounts";
+
+export type BudgetSuggestion = { 
+/**
+ * `false` → bu yöntem için veri yok (`message` nedenini söyler)
+ */
+available: boolean, message: string | null, amounts: GroupAmounts, };

frontend/src/types/BudgetWeekRequest.ts

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+// This file was generated by [ts-rs](https://github.com/Aleph-Alpha/ts-rs). Do not edit this file manually.
+import type { Group } from "./Group";
+
+export type BudgetWeekRequest = { group: Group, 
+/**
+ * Haftanın ilk günü (`PeriodWeek.start_date`)
+ */
+week_start: string, 
+/**
+ * Kuruş; `null` → otomatiğe döndür
+ */
+amount: number | null, };

frontend/src/types/GroupAmounts.ts

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+// This file was generated by [ts-rs](https://github.com/Aleph-Alpha/ts-rs). Do not edit this file manually.
+
+/**
+ * Gruplara göre tutarlar (kuruş)
+ */
+export type GroupAmounts = { needs: number, wants: number, culture: number, unexpected: number, };

frontend/src/types/GroupBudget.ts

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+// This file was generated by [ts-rs](https://github.com/Aleph-Alpha/ts-rs). Do not edit this file manually.
+import type { Group } from "./Group";
+import type { WeekBudget } from "./WeekBudget";
+
+export type GroupBudget = { group: Group, monthly: number, 
+/**
+ * Elle girilen haftaların toplamı aylık tutarı aşıyor
+ */
+weekly_over: boolean, weeks: Array<WeekBudget>, };

frontend/src/types/PeriodSummary.ts

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+// This file was generated by [ts-rs](https://github.com/Aleph-Alpha/ts-rs). Do not edit this file manually.
+
+export type PeriodSummary = { income_total: number, fixed_expense_total: number, savings_goal: number, 
+/**
+ * Önceki dönemden devreden borç
+ */
+carryover_debt: number, 
+/**
+ * Önceki dönemden devreden artı bakiye
+ */
+carryover_surplus: number, 
+/**
+ * gelir − sabit gider − birikim − borç + artı
+ */
+spendable: number, 
+/**
+ * 4 grubun aylık bütçe toplamı
+ */
+budget_total: number, 
+/**
+ * harcanabilir − dağıtılan (negatifse fazla dağıtılmış)
+ */
+unallocated: number, };

frontend/src/types/SuggestMethod.ts

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+// This file was generated by [ts-rs](https://github.com/Aleph-Alpha/ts-rs). Do not edit this file manually.
+
+export type SuggestMethod = "default" | "previous" | "avg3";

frontend/src/types/WeekBudget.ts

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+// This file was generated by [ts-rs](https://github.com/Aleph-Alpha/ts-rs). Do not edit this file manually.
+
+export type WeekBudget = { index: number, start_date: string, last_date: string, days: number, amount: number, 
+/**
+ * Elle girildi (otomatik değil)
+ */
+is_manual: boolean, };