Add a namespaced batch of custom tools. A custom tool can be page-backed or CDP-backed. Page-backed tools execute in the page via JavaScript. CDP-backed tools execute via CDP and can use all browser REPL tools (see /repl). The source must evaluate to a non-empty array of definitions with URL matchers, tool metadata (including an optional output schema), and execute functions. The batch is added atomically. Matchers apply to top-level documents and nested frames, including out-of-process iframes; each matching tool is exposed once on the tab's top-level document and appears in the WebMCP tool snapshot.

To update one tool, list the tools, delete its ID, and add its replacement. Set force_overwrite_namespace to replace every existing tool in the namespace atomically; omitted or false adds tools without replacing existing ones. Existing invocations continue.