feat(floating-ai): step 2 — create section registry + FloatingChatContext

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

src/renderer/components/layout/AppShell.tsx

@@ -56,6 +56,7 @@ import { Input } from '@/components/ui/input';
 import { Button } from '@/components/ui/button';
 import { AIChatPanel } from '@/components/ai/AIChatPanel';
 import { useTheme } from '@/components/theme-provider';
+import { FloatingChatProvider } from '@/context/FloatingChatContext';
 
 const NAV_ITEMS = [
   { to: '/', icon: House, label: 'Home' },
@@ -208,6 +209,7 @@ export function AppShell({ children }: AppShellProps) {
   }, [openCurtain, closeCurtain]);
 
   return (
+    <FloatingChatProvider>
     <>
     <SidebarProvider open={open} onOpenChange={handleOpenChange}>
       <AppSidebar
@@ -299,6 +301,7 @@ export function AppShell({ children }: AppShellProps) {
       </DialogContent>
     </Dialog>
     </>
+    </FloatingChatProvider>
   );
 }