docs: per-client High-level walker example using LazyBrowseNode

Add a "High-level walker" subsection under each client's "Browsing
lazily" section showing idiomatic use of LazyBrowseNode (browse +
expand, idempotency note, redeploy refresh pattern).

clients/dotnet/README.md

@@ -218,6 +218,32 @@ for (int i = 0; i < roots.Children.Count; i++)
 }
 ```
 
+#### High-level walker
+
+For UI trees, the client provides a `LazyBrowseNode` walker that handles
+sibling pagination and the `child_has_children` hint for you:
+
+```csharp
+await using GalaxyRepositoryClient repository = GalaxyRepositoryClient.Create(
+    new MxGatewayClientOptions { Endpoint = new Uri("http://localhost:5000"), ApiKey = apiKey });
+IReadOnlyList<LazyBrowseNode> roots = await repository.BrowseAsync();
+foreach (LazyBrowseNode root in roots)
+{
+    if (root.HasChildrenHint)
+    {
+        await root.ExpandAsync();
+    }
+    foreach (LazyBrowseNode child in root.Children)
+    {
+        Console.WriteLine($"{child.Object.TagName} ({(child.HasChildrenHint ? "has children" : "leaf")})");
+    }
+}
+```
+
+`ExpandAsync` is idempotent — calling it twice fires only one RPC,
+and is safe under concurrent callers. To refresh after a Galaxy redeploy, call
+`BrowseAsync` again from the root.
+
 ### Watching deploy events
 
 `WatchDeployEventsAsync` opens the `WatchDeployEvents` server-streaming RPC. The