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/rust/README.md

@@ -157,6 +157,31 @@ for (child, has_children) in reply.children.iter().zip(reply.child_has_children.
 }
 ```
 
+#### High-level walker
+
+For UI trees, the client provides a `LazyBrowseNode` walker that handles
+sibling pagination and the `child_has_children` hint for you:
+
+```rust
+let mut client = GalaxyClient::connect(
+    ClientOptions::new("http://localhost:5000").with_api_key(ApiKey::new(api_key)),
+).await?;
+let roots = client.browse(None).await?;
+for root in &roots {
+    if root.has_children_hint() {
+        root.expand().await?;
+    }
+    for child in root.children().await {
+        let kind = if child.has_children_hint() { "has children" } else { "leaf" };
+        println!("{} ({kind})", child.object().tag_name);
+    }
+}
+```
+
+`expand` is idempotent — calling it twice fires only one RPC,
+and is safe under concurrent callers. To refresh after a Galaxy redeploy, call
+`browse` again from the root.
+
 ### Watching deploy events
 
 `watch_deploy_events` opens the `WatchDeployEvents` server stream. The