feat: doctor visit log, schedule prediction, chart PDF, natural digest

- Doctor notes: add doctorName, reason, prescriptions, nextAppointmentAt fields (schema + API + UI)
- Dashboard: baby schedule prediction widget (avg nap/bedtime/first-feed over 14 days)
- Growth PDF: embed weight chart as image (SVG→Canvas capture) before data table
- Weekly digest: natural language push notification instead of bullet stats

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>

src/app/(app)/dashboard/page.tsx

@@ -554,6 +554,13 @@ export default function DashboardPage() {
     enabled: !!selectedBaby?.id,
     staleTime: 60_000,
   });
+  const { data: scheduleData } = useQuery({
+    queryKey: ["events-schedule", selectedBaby?.id],
+    queryFn: () =>
+      fetch(`/api/events?babyId=${selectedBaby!.id}&limit=200&dateFrom=${new Date(Date.now() - 14 * 86400000).toISOString()}`).then((r) => r.json()),
+    enabled: !!selectedBaby?.id,
+    staleTime: 300_000,
+  });
 
   if (familyLoading) {
     return (
@@ -594,6 +601,63 @@ export default function DashboardPage() {
     return { avgH, avgM, lastFeedTime, nextExpected, untilNextMs };
   })();
 
+  const schedulePrediction = (() => {
+    const evs: Event[] = scheduleData?.events ?? [];
+    if (evs.length < 10) return null;
+
+    function avgHourMin(times: number[]): string | null {
+      if (times.length === 0) return null;
+      const avgMs = times.reduce((a, b) => a + b, 0) / times.length;
+      const totalMin = Math.round(avgMs / 60000);
+      const h = Math.floor(totalMin / 60) % 24;
+      const m = totalMin % 60;
+      return `${h.toString().padStart(2, "0")}h${m.toString().padStart(2, "0")}`;
+    }
+
+    const byDay: Record<string, Event[]> = {};
+    for (const e of evs) {
+      const day = e.startedAt.slice(0, 10);
+      if (!byDay[day]) byDay[day] = [];
+      byDay[day].push(e);
+    }
+
+    const napTimes: number[] = [];
+    const nightTimes: number[] = [];
+    const firstFeedTimes: number[] = [];
+
+    for (const [, dayEvs] of Object.entries(byDay)) {
+      const nap = dayEvs.find((e) => e.type === "NAP");
+      if (nap) {
+        const t = new Date(nap.startedAt);
+        napTimes.push((t.getHours() * 60 + t.getMinutes()) * 60000);
+      }
+
+      const night = dayEvs.find((e) => e.type === "NIGHT_SLEEP");
+      if (night) {
+        const t = new Date(night.startedAt);
+        nightTimes.push((t.getHours() * 60 + t.getMinutes()) * 60000);
+      }
+
+      const feeds = dayEvs
+        .filter((e) => e.type === "BREASTFEED" || e.type === "BOTTLE")
+        .sort((a, b) => new Date(a.startedAt).getTime() - new Date(b.startedAt).getTime());
+      if (feeds.length > 0) {
+        const t = new Date(feeds[0].startedAt);
+        const minuteOfDay = t.getHours() * 60 + t.getMinutes();
+        if (minuteOfDay > 240) {
+          firstFeedTimes.push(minuteOfDay * 60000);
+        }
+      }
+    }
+
+    const nap = avgHourMin(napTimes);
+    const night = avgHourMin(nightTimes);
+    const firstFeed = avgHourMin(firstFeedTimes);
+
+    if (!nap && !night && !firstFeed) return null;
+    return { nap, night, firstFeed };
+  })();
+
   return (
     <div className="p-4 md:p-8 pb-24 md:pb-8">
       {/* Page header */}
@@ -670,6 +734,42 @@ export default function DashboardPage() {
         </div>
       )}
 
+      {schedulePrediction && (
+        <div className="bg-white dark:bg-slate-800 border border-slate-200 dark:border-slate-700 rounded-xl p-4 mb-6">
+          <p className="text-xs font-semibold text-slate-400 dark:text-slate-500 uppercase tracking-wider mb-3">Planning habituel</p>
+          <div className="flex flex-wrap gap-3">
+            {schedulePrediction.firstFeed && (
+              <div className="flex items-center gap-2">
+                <span className="text-base">🍼</span>
+                <div>
+                  <p className="text-[10px] text-slate-400 dark:text-slate-500">1er repas</p>
+                  <p className="text-sm font-bold text-slate-700 dark:text-slate-200 font-mono">{schedulePrediction.firstFeed}</p>
+                </div>
+              </div>
+            )}
+            {schedulePrediction.nap && (
+              <div className="flex items-center gap-2">
+                <span className="text-base">😴</span>
+                <div>
+                  <p className="text-[10px] text-slate-400 dark:text-slate-500">Sieste</p>
+                  <p className="text-sm font-bold text-slate-700 dark:text-slate-200 font-mono">{schedulePrediction.nap}</p>
+                </div>
+              </div>
+            )}
+            {schedulePrediction.night && (
+              <div className="flex items-center gap-2">
+                <span className="text-base">🌙</span>
+                <div>
+                  <p className="text-[10px] text-slate-400 dark:text-slate-500">Coucher</p>
+                  <p className="text-sm font-bold text-slate-700 dark:text-slate-200 font-mono">{schedulePrediction.night}</p>
+                </div>
+              </div>
+            )}
+          </div>
+          <p className="text-[10px] text-slate-300 dark:text-slate-600 mt-2">Moyenne sur 14 jours</p>
+        </div>
+      )}
+
       {/* Empty state for new users */}
       {todayEvents.length === 0 && events.filter((e) => !e.endedAt && EVENT_CONFIG[e.type]?.hasTimer).length === 0 && (
         <div className="bg-indigo-50 dark:bg-indigo-950 border border-indigo-100 dark:border-indigo-900 rounded-xl p-5 mb-4 flex items-start gap-3">