feat: initial brainstorming app — Nuxt 3 + SQLite + admin auth

Nuxt 3 app with:
- SQLite (better-sqlite3) for persistence
- Anonymous idea submission and voting
- Admin auth with session cookies
- AI analysis via Gemini API
- Nuxt UI components + Tailwind

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

server/api/analysis/index.post.ts

@@ -0,0 +1,44 @@
+import db from '../../utils/db'
+import { requireAdmin } from '../../utils/auth'
+
+export default defineEventHandler(async (event) => {
+  requireAdmin(event)
+
+  const ideas = db.prepare('SELECT text, category FROM ideas WHERE hidden = 0').all() as any[]
+  if (ideas.length < 3) {
+    throw createError({ statusCode: 400, statusMessage: 'Need at least 3 ideas' })
+  }
+
+  const { apiKey } = await readBody(event)
+  if (!apiKey) {
+    throw createError({ statusCode: 400, statusMessage: 'API key required' })
+  }
+
+  const prompt = `Analiza las siguientes ideas de automatización propuestas por un equipo de ingeniería:
+${ideas.map((i: any) => `- [${i.category}]: ${i.text}`).join('\n')}
+
+Por favor, genera un resumen ejecutivo en formato JSON con:
+1. "topFrictionPoints": Los 3 problemas más recurrentes.
+2. "quickWins": Automatizaciones fáciles de implementar con alto impacto.
+3. "strategicAdvice": Recomendación sobre qué priorizar.
+Responde SOLO con el JSON.`
+
+  const response = await fetch(
+    `https://generativelanguage.googleapis.com/v1beta/models/gemini-2.5-flash-preview-05-20:generateContent?key=${apiKey}`,
+    {
+      method: 'POST',
+      headers: { 'Content-Type': 'application/json' },
+      body: JSON.stringify({
+        contents: [{ parts: [{ text: prompt }] }],
+        generationConfig: { responseMimeType: 'application/json' },
+      }),
+    },
+  )
+
+  if (!response.ok) {
+    throw createError({ statusCode: 502, statusMessage: 'AI API failed' })
+  }
+
+  const data = await response.json()
+  return JSON.parse(data.candidates[0].content.parts[0].text)
+})