feat: improve remote browser tree routing

- Allow remote host aliases passed via --browser to fan out for read-only
  multi-browser SDK paths while preserving strict routing for mutating commands.
- Add remote host grouping and scoped profile labels to tabs tree output so
  global views avoid repeated host prefixes.
- Carry browser family metadata through remote targets, tabs, and groups and
  style tree browser labels by family.
- Split CLI rendering helpers into a typed rendering package with dedicated
  common, label, tabs-tree, and windows-tree modules.
- Bump browser-cli and extension versions to 0.15.5.
- Cover the new routing and rendering behavior with unit and CLI tests.

browser_cli/sdk/factories.py

@@ -28,6 +28,8 @@ class FactoryMixin:
         browser_profile: str | None = None,
         browser_name: str | None = None,
         browser_remote: str | None = None,
+        browser_type: str | None = None,
+        browser_group: str | None = None,
     ) -> Tab:
         tab = Tab(
             id=data["id"],
@@ -39,6 +41,8 @@ class FactoryMixin:
             group_id=data.get("groupId") or None,
             index=data.get("index", 0) or 0,
             browser=browser_name,
+            browser_name=browser_type,
+            browser_group=browser_group,
         )
         client = cast(_FactoryClient, self)
         tab._browser = self if browser_profile is None else cast(Any, type(self))(
@@ -62,6 +66,8 @@ class FactoryMixin:
         browser_profile: str | None = None,
         browser_name: str | None = None,
         browser_remote: str | None = None,
+        browser_type: str | None = None,
+        browser_group: str | None = None,
     ) -> Group:
         group = Group(
             id=data["id"],
@@ -71,6 +77,8 @@ class FactoryMixin:
             tab_count=data.get("tabCount", 0),
             window_id=data.get("windowId"),
             browser=browser_name,
+            browser_name=browser_type,
+            browser_group=browser_group,
         )
         client = cast(_FactoryClient, self)
         group._browser = self if browser_profile is None else cast(Any, type(self))(
@@ -88,6 +96,8 @@ class FactoryMixin:
             browser_profile=target.profile if target else None,
             browser_name=target.display_name if target else None,
             browser_remote=target.remote if target else None,
+            browser_type=getattr(target, "browser_name", None) if target else None,
+            browser_group=getattr(target, "display_group", None) if target else None,
         )
 
     def group_from_target(self, data: dict, target) -> Group:
@@ -97,6 +107,8 @@ class FactoryMixin:
             browser_profile=target.profile if target else None,
             browser_name=target.display_name if target else None,
             browser_remote=target.remote if target else None,
+            browser_type=getattr(target, "browser_name", None) if target else None,
+            browser_group=getattr(target, "display_group", None) if target else None,
         )
 
     @staticmethod

browser_cli/sdk/routing.py

@@ -37,6 +37,20 @@ _UNSET = object()
 def _browser_cli_package():
   return sys.modules.get("browser_cli") or importlib.import_module("browser_cli")
 
+def _with_profile_display(targets: list[BrowserTarget]) -> list[BrowserTarget]:
+  """Use profile-only labels when a command is already scoped to one remote."""
+  return [
+    BrowserTarget(
+      profile=target.profile,
+      display_name=target.profile if target.remote else target.display_name,
+      socket_path=target.socket_path,
+      remote=target.remote,
+      browser_name=target.browser_name,
+      display_group=None,
+    )
+    for target in targets
+  ]
+
 class RoutingMixin:
   """Fan-out + aggregation across active browsers, mixed into ``BrowserCLI``.
 
@@ -51,10 +65,15 @@ class RoutingMixin:
   def _multi_browser_targets(self) -> list[BrowserTarget]:
     client = self._client
     package = _browser_cli_package()
-    if client._browser is not None:
+    if client._browser is not None and not client._remote:
+      targets = package.remote_targets_for_alias(client._browser, key=client._key)
+      if len(targets) <= 1:
+        return []
+      targets = _with_profile_display(targets)
+    elif client._browser is not None:
       return []
-    if client._remote:
-      targets = package.remote_browser_targets(client._remote, key=client._key)
+    elif client._remote:
+      targets = _with_profile_display(package.remote_browser_targets(client._remote, key=client._key))
     else:
       targets = package.active_browser_targets()
     if len(targets) <= 1 and not any(target.remote for target in targets):