Label multi-branch department picks and add searchable patients.

Make appointment/practitioner department (and practitioner) options show branch names so duplicates are distinguishable, and replace the patient select with a searchable dropdown.

Co-authored-by: Cursor <cursoragent@cursor.com>

app/Models/Department.php

@@ -26,4 +26,20 @@ class Department extends Model
     {
         return $this->belongsTo(Branch::class, 'branch_id');
     }
+
+    /**
+     * Select option label — includes branch when set so multi-branch duplicates are distinguishable.
+     */
+    public function labelForSelect(): string
+    {
+        $branch = $this->relationLoaded('branch')
+            ? $this->branch
+            : $this->branch()->first();
+
+        if ($branch?->name) {
+            return $this->name.' — '.$branch->name;
+        }
+
+        return (string) $this->name;
+    }
 }