feat: group multi-browser output by source

- Add browser source grouping metadata to SDK-created tabs, groups,
  list results, and aggregate count results.
- Render grouped local/remote browser tables consistently for clients,
  tabs, groups, windows, sessions, and remote status output.
- Document remote control, auth, HTTP gateway usage, and the refreshed
  project structure in the README.
- Add coverage for grouped output and BrowserCounts browser_groups.
- Bump the Python package, extension manifest, and lockfile to 0.15.6.
- Add a just publish helper for building and publishing release artifacts.

browser_cli/commands/clients.py

@@ -36,7 +36,7 @@ def _ensure_unique_browser_alias(alias: str, target_browser: str | None) -> None
   if alias in profiles and alias != target_profile:
     raise click.ClickException(f"Browser alias '{alias}' already exists")
 
-def _append_clients(into, label, *, profile=None, remote=None, key=None, quiet_remote_warning=False):
+def _append_clients(into, label, *, profile=None, remote=None, key=None, quiet_remote_warning=False, profile_group=None):
   """Query clients.list for one target and append each, tagged with *label*."""
   if quiet_remote_warning:
     result = send_command(
@@ -50,6 +50,8 @@ def _append_clients(into, label, *, profile=None, remote=None, key=None, quiet_r
     result = send_command("clients.list", profile=profile, remote=remote, key=key)
   for c in (result or []):
     c["profile"] = label
+    if profile_group:
+      c["profileGroup"] = profile_group
     into.append(c)
 
 @click.group("clients", invoke_without_command=True)
@@ -89,7 +91,14 @@ def _collect_remote_alias_clients(all_clients: list, browser_alias: str, key) ->
     sys.exit(1)
   for target in targets:
     try:
-      _append_clients(all_clients, target.display_name, profile=target.profile, remote=resolved.remote, key=key)
+      _append_clients(
+        all_clients,
+        target.display_name,
+        profile=target.profile,
+        remote=resolved.remote,
+        key=key,
+        profile_group=target.display_group,
+      )
     except (BrowserNotConnected, RuntimeError):
       continue
 
@@ -109,10 +118,11 @@ def _collect_local_and_saved_remote_clients(all_clients: list) -> None:
   for profile_name, sock_path in profiles.items():
     display_profile = display_browser_name(profile_name, sock_path)
     try:
-      _append_clients(all_clients, display_profile, profile=profile_name)
+      _append_clients(all_clients, display_profile, profile=profile_name, profile_group="local")
     except (BrowserNotConnected, RuntimeError):
       all_clients.append({
         "profile": display_profile,
+        "profileGroup": "local",
         "name": "—",
         "version": "—",
         "extensionVersion": "disconnected",
@@ -130,6 +140,7 @@ def _collect_local_and_saved_remote_clients(all_clients: list) -> None:
         profile=target.profile,
         remote=target.remote,
         quiet_remote_warning=True,
+        profile_group=target.display_group,
       )
     except (BrowserNotConnected, RuntimeError):
       continue
@@ -137,13 +148,25 @@ def _collect_local_and_saved_remote_clients(all_clients: list) -> None:
 def _print_clients(all_clients: list) -> None:
   from rich.table import Table
   table = Table(show_header=True, header_style="bold cyan")
-  table.add_column("Profile")
+  table.add_column("Profile", no_wrap=True)
   table.add_column("Browser")
   table.add_column("Version")
   table.add_column("Extension Version")
+  rendered_groups: set[str] = set()
+  groups = {c.get("profileGroup") for c in all_clients if c.get("profileGroup")}
+  grouped = bool(groups and groups != {"local"})
   for c in all_clients:
+    group = c.get("profileGroup") if grouped else None
+    if group:
+      if group not in rendered_groups:
+        table.add_row(f"[bold]{group}[/bold]", "", "", "")
+        rendered_groups.add(group)
+      profile = str(c.get("profile", "")).removeprefix(f"{group}:")
+      profile = f"  {profile}"
+    else:
+      profile = c.get("profile", "")
     table.add_row(
-      c.get("profile", ""),
+      profile,
       c.get("name", ""),
       c.get("version", ""),
       c.get("extensionVersion", ""),