FEAT-NAMEGEN UC-1: 'Name vorschlagen'-Panel auf GerbilFormPage

- api/names.ts: suggestNames() + buildSuggestPath() + NAMEGEN_USAGES (norn/japa/mythg/ger/arb)
- de.ts: namegen-Sektion (button, panelTitle, letter/usages/load/states)
- NameSuggestPanel.tsx: inline-Panel mit Buchstabe/Herkunftskultur-Multiselect, Vorschlagsliste; 503 NamesKeyMissing → freundlicher Hinweis
- GerbilFormPage: 'Name vorschlagen'-Button neben Namensfeld (htmlFor-Pattern), Panel schließt+befüllt bei Auswahl
- vitest: 11 Tests (buildSuggestPath URL-Logik + NAMEGEN_USAGES-Struktur)
- e2e: mock /names/suggest + namesConfigured-Flag; 4 Specs (Panel öffnen, Klick befüllt, Buchstabe-Filter, 503-Fallback)

Gate: vitest 104/104, e2e 156/156, tsc clean

gerbil-manager-web/src/api/names.ts

@@ -0,0 +1,40 @@
+/** FEAT-NAMEGEN: Namensvorschläge — Schnittstelle zum Backend /names/suggest. */
+import { api } from './client'
+
+export interface NameSuggestion {
+  name: string
+  meaning: string
+  origin: string
+}
+
+export const NAMEGEN_USAGES = [
+  { code: 'norn', label: 'Nordisch' },
+  { code: 'japa', label: 'Japanisch' },
+  { code: 'mythg', label: 'Griech. Mythologie' },
+  { code: 'ger', label: 'Deutsch' },
+  { code: 'arb', label: 'Arabisch' },
+] as const
+
+export type NamegenUsageCode = (typeof NAMEGEN_USAGES)[number]['code']
+
+export interface SuggestNamesParams {
+  letter?: string
+  gender?: string
+  usages: NamegenUsageCode[]
+  count?: number
+}
+
+/** Exported for unit tests — builds the query path without a network call. */
+export function buildSuggestPath(params: SuggestNamesParams): string {
+  const parts: string[] = []
+  const letter = params.letter?.trim().toUpperCase()
+  if (letter) parts.push(`letter=${encodeURIComponent(letter)}`)
+  if (params.gender && params.gender !== '') parts.push(`gender=${encodeURIComponent(params.gender)}`)
+  if (params.usages.length > 0) parts.push(`usages=${params.usages.join(',')}`)
+  parts.push(`count=${params.count ?? 6}`)
+  return `/names/suggest?${parts.join('&')}`
+}
+
+export function suggestNames(params: SuggestNamesParams): Promise<NameSuggestion[]> {
+  return api.get<NameSuggestion[]>(buildSuggestPath(params))
+}