List a remote MCP connector's tool registry

Lists the tool registry the organization keeps for one of its own remote MCP connectors: one row per tool name, decided once for every connection of the connector. A tool the server offers is usable at once. Rows carry status (active, or disabled when a manager turned it off), tier (derived from the server's annotations and following the server on every refresh), tier_source (server when the server's annotations decided the tier; default when the server sent no readOnlyHint: true and no boolean destructiveHint, so the safe default destructive applies), the full description of the latest definition (at most 64,000 characters), connection_count (connections that list it now) and can_manage (whether the caller may PATCH it). A caller with only use access sees just the active tools, whatever status they ask for. Paged by name; q is a case-insensitive substring of the name, upstream name, title or description (a space also matches _), and status, tier (one or several) and labeled filter too, all before paging. When q, tier or labeled narrows the list, the first page (no cursor) also carries match_count, the count of every tool matching those filters, to show "N of M tools" beside the detail's remote_mcp.listed_tool_count (the unfiltered count). Needs use access or better on the connector (a view grant answers 403; no access, or a connector with no remote MCP server, answers 404) and the custom_connectors plan feature. For the catalog capability listing, use GET /connector/{slug}/tools instead.