fix(branch-picker): strip remote prefix when checking out remote branches

src/components/chat/conversation-context-bar.tsx

@@ -301,21 +301,28 @@ const BranchPicker = memo(function BranchPicker({
                       count: branchList.remote.length,
                     })}
                   >
-                    {branchList.remote.map((b) => (
+                    {branchList.remote.map((b) => {
+                      const localName = b.replace(/^[^/]+\//, "")
+                      return (
                         <CommandItem
                           key={`remote-${b}`}
                           value={`remote ${b}`}
                           onSelect={() => {
                             setOpen(false)
-                          void onCheckout(b)
+                            if (localName !== currentBranch)
+                              void onCheckout(localName)
                           }}
                         >
                           <GitBranch className="h-4 w-4 opacity-60" />
                           <span className="flex-1 truncate text-muted-foreground">
                             {b}
                           </span>
+                          {localName === currentBranch && (
+                            <Check className="h-4 w-4 shrink-0" />
+                          )}
                         </CommandItem>
-                    ))}
+                      )
+                    })}
                   </CommandGroup>
                 )}
               </>