feat: dashboard Second Brain, essai 7 jours et vérification e-mail

Rendre le dashboard actionnable (inbox, peek, carte mentale), aligner la facturation sur l’essai 7 jours, et bloquer le login e-mail tant que l’adresse n’est pas confirmée.

Co-authored-by: Cursor <cursoragent@cursor.com>

memento-note/lib/ai/services/slide-content-quality.ts

@@ -214,6 +214,32 @@ export function normalizeSlideDeck(input: {
       }
       return { ...s, stats: valid.slice(0, 4) }
     }
+    // Equation without real formulas → degrade to bullets (avoid shipping f(x)=?)
+    if (s.type === 'equation') {
+      const eqs = Array.isArray(s.equations) ? s.equations : []
+      const real = eqs.filter((eq: any) => String(eq?.latex || '').trim() && !/f\s*\(\s*x\s*\)\s*=\s*\?/i.test(String(eq.latex)))
+      if (real.length === 0) {
+        return {
+          type: 'bullets',
+          title: trimStr(s.title || 'Points clés', 90),
+          items: cleanList(
+            [...(s.explanation ? [String(s.explanation)] : []), ...eqs.map((eq: any) => eq?.label).filter(Boolean)],
+            4,
+            140,
+          ),
+        }
+      }
+      return { ...s, equations: real.slice(0, 4) }
+    }
+    // Image without URL → degrade to bullets (avoid placeholder in final deck)
+    if (s.type === 'image' && !String(s.url || '').trim()) {
+      const caption = String(s.caption || '').trim()
+      return {
+        type: 'bullets',
+        title: trimStr(s.title || 'Illustration', 90),
+        items: caption ? [caption] : cleanList(s.items, 3, 140),
+      }
+    }
     return s
   })