register all mcp tools with namespace (#17404)

stacked on #17402.

MCP tools returned by `tool_search` (deferred tools) get registered in
our `ToolRegistry` with a different format than directly available
tools. this leads to two different ways of accessing MCP tools from our
tool catalog, only one of which works for each. fix this by registering
all MCP tools with the namespace format, since this info is already
available.

also, direct MCP tools are registered to responsesapi without a
namespace, while deferred MCP tools have a namespace. this means we can
receive MCP `FunctionCall`s in both formats from namespaces. fix this by
always registering MCP tools with namespace, regardless of deferral
status.

make code mode track `ToolName` provenance of tools so it can map the
literal JS function name string to the correct `ToolName` for
invocation, rather than supporting both in core.

this lets us unify to a single canonical `ToolName` representation for
each MCP tool and force everywhere to use that one, without supporting
fallbacks.

codex-rs/tools/src/lib.rs

@@ -18,7 +18,6 @@ mod responses_api;
 mod tool_config;
 mod tool_definition;
 mod tool_discovery;
-mod tool_name;
 mod tool_registry_plan;
 mod tool_registry_plan_types;
 mod tool_spec;
@@ -50,6 +49,7 @@ pub use code_mode::collect_code_mode_tool_definitions;
 pub use code_mode::create_code_mode_tool;
 pub use code_mode::create_wait_tool;
 pub use code_mode::tool_spec_to_code_mode_tool_definition;
+pub use codex_protocol::ToolName;
 pub use dynamic_tool::parse_dynamic_tool;
 pub use image_detail::can_request_original_image_detail;
 pub use image_detail::normalize_output_image_detail;
@@ -113,13 +113,13 @@ pub use tool_discovery::collect_tool_suggest_entries;
 pub use tool_discovery::create_tool_search_tool;
 pub use tool_discovery::create_tool_suggest_tool;
 pub use tool_discovery::filter_tool_suggest_discoverable_tools_for_client;
-pub use tool_name::ToolName;
 pub use tool_registry_plan::build_tool_registry_plan;
 pub use tool_registry_plan_types::ToolHandlerKind;
 pub use tool_registry_plan_types::ToolHandlerSpec;
 pub use tool_registry_plan_types::ToolNamespace;
 pub use tool_registry_plan_types::ToolRegistryPlan;
 pub use tool_registry_plan_types::ToolRegistryPlanDeferredTool;
+pub use tool_registry_plan_types::ToolRegistryPlanMcpTool;
 pub use tool_registry_plan_types::ToolRegistryPlanParams;
 pub use tool_spec::ConfiguredToolSpec;
 pub use tool_spec::ResponsesApiWebSearchFilters;