Dashboard: show 10 chapters titled Chapters; bump chapter mtime on beat changes

Beat create/update/delete/reorder/assign/move now touch the parent
chapter's UpdatedAt so the dashboard's recency sort reflects beat edits,
not just chapter-level prose/tag changes.

src/Novelly.Api/Beats/BeatService.cs

@@ -116,6 +116,8 @@ public class BeatService(
             beat.Tags = await tags.ResolveAsync(chapter.ProjectId, names, ct);
         }
 
+        chapter.UpdatedAt = DateTimeOffset.UtcNow;
+
         db.Beats.Add(beat);
         await db.SaveChangesAsync(ct);
 
@@ -150,6 +152,7 @@ public class BeatService(
         beat.WhatHappened = Patch.Apply(beat.WhatHappened, request.WhatHappened);
         beat.WhatsNext = Patch.Apply(beat.WhatsNext, request.WhatsNext);
         beat.UpdatedAt = DateTimeOffset.UtcNow;
+        chapter.UpdatedAt = beat.UpdatedAt;
 
         if (request.CharacterIds is { } characterIds)
         {
@@ -179,6 +182,12 @@ public class BeatService(
 
         await RequireBeatAccessAsync(beat, ProjectPermission.DeleteContent, ct);
 
+        var chapter = await db.Chapters.FirstOrDefaultAsync(c => c.Id == beat.ChapterId, ct);
+        if (chapter is not null)
+        {
+            chapter.UpdatedAt = DateTimeOffset.UtcNow;
+        }
+
         db.Beats.Remove(beat);
         await db.SaveChangesAsync(ct);
         return true;
@@ -215,6 +224,12 @@ public class BeatService(
             beat.SortOrder = order++;
         }
 
+        var chapter = await db.Chapters.FirstOrDefaultAsync(c => c.Id == chapterId, ct);
+        if (chapter is not null)
+        {
+            chapter.UpdatedAt = DateTimeOffset.UtcNow;
+        }
+
         await db.SaveChangesAsync(ct);
         return await ListAsync(chapterId, ct);
     }
@@ -262,6 +277,7 @@ public class BeatService(
         {
             beat.Characters.Add(character);
             beat.UpdatedAt = DateTimeOffset.UtcNow;
+            chapter.UpdatedAt = beat.UpdatedAt;
         }
 
         await db.SaveChangesAsync(ct);
@@ -312,14 +328,18 @@ public class BeatService(
         }
 
         var nextSortOrder = await NextSortOrderAsync(request.TargetChapterId, ct);
+        var now = DateTimeOffset.UtcNow;
         foreach (var beatId in request.BeatIds)
         {
             var beat = beats.Single(b => b.Id == beatId);
             beat.ChapterId = request.TargetChapterId;
             beat.SortOrder = nextSortOrder++;
-            beat.UpdatedAt = DateTimeOffset.UtcNow;
+            beat.UpdatedAt = now;
         }
 
+        chapter.UpdatedAt = now;
+        targetChapter.UpdatedAt = now;
+
         await db.SaveChangesAsync(ct);
         return beats;
     }

src/Novelly.Web/src/pages/DashboardPage.tsx

@@ -5,6 +5,7 @@ import { useAuth } from '../auth/AuthContext'
 import { AutoField, EmptyState, ErrorNote, Spinner, StatusBadge } from '../components/ui'
 
 const RECENT_COUNT = 5
+const RECENT_CHAPTERS_COUNT = 10
 
 export default function DashboardPage() {
   const { projectId = '' } = useParams()
@@ -61,7 +62,7 @@ function OutliningDashboard({ projectId }: { projectId: string }) {
       <div className="grid gap-6 lg:grid-cols-3">
         <section className="card p-5 lg:col-span-2">
           <div className="mb-4 flex items-center justify-between gap-4">
-            <h2 className="text-lg font-semibold">Outline</h2>
+            <h2 className="text-lg font-semibold">Chapters</h2>
             <Link to="chapters" className="text-sm muted hover:underline">
               View all →
             </Link>
@@ -74,7 +75,7 @@ function OutliningDashboard({ projectId }: { projectId: string }) {
             <EmptyState title="No chapters yet" hint="Add the first chapter to start outlining." />
           ) : (
             <ul className="grid grid-cols-1 gap-2">
-              {recentChapters.slice(0, RECENT_COUNT).map((chapter) => (
+              {recentChapters.slice(0, RECENT_CHAPTERS_COUNT).map((chapter) => (
                 <li key={chapter.id}>
                   <Link
                     to={`chapters/${chapter.id}`}