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

clients/go/README.md

@@ -143,6 +143,46 @@ for i, child := range reply.GetChildren() {
 }
 ```
 
+#### High-level walker
+
+For UI trees, the client provides a `LazyBrowseNode` walker that handles
+sibling pagination and the `child_has_children` hint for you:
+
+```go
+galaxy, err := mxgateway.DialGalaxy(ctx, mxgateway.Options{
+    Endpoint:  "localhost:5000",
+    APIKey:    os.Getenv("MXGATEWAY_API_KEY"),
+    Plaintext: true,
+})
+if err != nil {
+    log.Fatal(err)
+}
+defer galaxy.Close()
+
+roots, err := galaxy.Browse(ctx, nil)
+if err != nil {
+    log.Fatal(err)
+}
+for _, root := range roots {
+    if root.HasChildrenHint() {
+        if err := root.Expand(ctx); err != nil {
+            log.Fatal(err)
+        }
+    }
+    for _, child := range root.Children() {
+        kind := "leaf"
+        if child.HasChildrenHint() {
+            kind = "has children"
+        }
+        fmt.Printf("%s (%s)\n", child.Object().GetTagName(), kind)
+    }
+}
+```
+
+`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
 
 `WatchDeployEvents` opens a server-streaming subscription. The server emits a

clients/java/README.md

@@ -139,6 +139,36 @@ for (int i = 0; i < children.size(); 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:
+
+```java
+MxGatewayClientOptions options = MxGatewayClientOptions.builder()
+        .endpoint("localhost:5000")
+        .apiKey(System.getenv("MXGATEWAY_API_KEY"))
+        .plaintext(true)
+        .build();
+
+try (GalaxyRepositoryClient galaxy = GalaxyRepositoryClient.connect(options)) {
+    List<LazyBrowseNode> roots = galaxy.browse();
+    for (LazyBrowseNode root : roots) {
+        if (root.hasChildrenHint()) {
+            root.expand();
+        }
+        for (LazyBrowseNode child : root.getChildren()) {
+            String kind = child.hasChildrenHint() ? "has children" : "leaf";
+            System.out.println(child.getObject().getTagName() + " (" + kind + ")");
+        }
+    }
+}
+```
+
+`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
 
 `GalaxyRepository.WatchDeployEvents` is a server-streaming RPC: the gateway

clients/python/README.md

@@ -157,6 +157,30 @@ for child, has_children in zip(reply.children, reply.child_has_children):
     print(child.tag_name, "expand=" + str(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:
+
+```python
+async with await GalaxyRepositoryClient.connect(
+    endpoint="localhost:5000",
+    api_key="<gateway-api-key>",
+    plaintext=True,
+) as galaxy:
+    roots = await galaxy.browse()
+    for root in roots:
+        if root.has_children_hint:
+            await root.expand()
+        for child in root.children:
+            kind = "has children" if child.has_children_hint else "leaf"
+            print(f"{child.object.tag_name} ({kind})")
+```
+
+`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
 
 `GalaxyRepositoryClient.watch_deploy_events` opens a server-streaming

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