feat(ui): add desktop git sidebar + terminal dock and improve in-app PR workflow (#362)

* feat: add unified dropdown with services content in header

* feat: add right Git sidebar with resizable panel

* feat: implement responsive panel auto-toggle and terminal rehydration

- Auto-close the right sidebar when width is below a threshold and auto-open it when space permits
- Auto-close the bottom terminal when height is below a threshold and auto-open it when enough space
- Apply a dedicated rehydrated streaming configuration for terminal sessions to optimize reconnect behavior

* feat: enhance PR view with status caching and annotations

* feat(ui): enable chat dispatch in PullRequestSection

* feat(TerminalView): adjust layout

* feat: refine chat input layout and text selection menu

* fix(ui): show empty state in GitView when no changes

* feat(git): update PR actions styling and create PR button

packages/ui/src/components/chat/ChatInput.tsx

@@ -1765,7 +1765,7 @@ export const ChatInput: React.FC<ChatInputProps> = ({ onOpenSettings, scrollToBo
                 )}
                 <div
                     className={cn(
-                        "flex flex-col relative overflow-visible overflow-hidden",
+                        "flex flex-col relative overflow-visible",
                         "border border-border/80",
                         "focus-within:ring-1 focus-within:ring-primary/50"
                     )}