simplify(compat): tools/browser_tool — drop the last warm_agent_browser_npx_cache re-export, repoint 1 caller (update_cmd_deps internal import) + 1 test file

Consolidates on top of the concurrent browser_tool compat-removal commits (de60f789a7, 912a497ce2, da7ee6353e, 69eb1feb3e): the facade no longer re-exports any browser_tool_* sibling name; hermes_cli/update_cmd_deps.py's internal import (not its exported surface) and tests/hermes_cli/test_cmd_update.py patch targets now point at tools.browser_tool_install.

hermes_cli/update_cmd_deps.py

@@ -584,7 +584,7 @@ def _update_node_dependencies() -> list[str]:
     # See #43564.
     print("→ Warming npx cache for agent-browser...")
     with suppress(Exception):
-        from tools.browser_tool import warm_agent_browser_npx_cache
+        from tools.browser_tool_install import warm_agent_browser_npx_cache
         warm_agent_browser_npx_cache()
 
     if not _m()._npm_lockfile_changed(shared_hermes_root):

tests/hermes_cli/test_cmd_update.py

@@ -1078,7 +1078,7 @@ class TestNodeRuntimeNpmResolution:
         )
 
         with patch(
-            "tools.browser_tool.warm_agent_browser_npx_cache", return_value=True
+            "tools.browser_tool_install.warm_agent_browser_npx_cache", return_value=True
         ):
             failed = hm._update_node_dependencies()
         assert failed == ["ui-tui, web workspaces"]
@@ -1280,7 +1280,7 @@ class TestUpdateNodeDependencies:
         """The npx cache warm-up is covered by its own dedicated test below;
         stub it out everywhere else so it doesn't add a spurious npm/npx
         call to the workspace-install assertions in this class."""
-        with patch("tools.browser_tool.warm_agent_browser_npx_cache", return_value=True):
+        with patch("tools.browser_tool_install.warm_agent_browser_npx_cache", return_value=True):
             yield
 
     def _npm_calls(self, mock_run):
@@ -1468,7 +1468,7 @@ class TestUpdateNodeDependencies:
         mock_popen.side_effect = self._make_popen([], returncode=1, stderr_lines=["npm ERR!\n"])
 
         with patch(
-            "tools.browser_tool.warm_agent_browser_npx_cache", return_value=True
+            "tools.browser_tool_install.warm_agent_browser_npx_cache", return_value=True
         ) as mock_warm:
             hm._update_node_dependencies()