`tool-cordis` registered the four first-party Host inspect providers from
every preset row that mounted it. The Host registry rejects a duplicate
provider id, so a second preset carrying `tool-cordis` — or a user preset
copied from a shipped one — failed to mount in the same process.
- Add `@deepseek-ai/dsh-tool-cordis/host` (`cordis-inspect-providers`),
the host-plane row that registers the providers; the Web host
composition mounts it beside `cordis-host-runner`. The per-session
`tool-cordis` row now only registers the tools and its prompt section.
- Gate the `cordis` preset's `tool-plugin-manager` row on `profileContext`,
the same condition `dsh-base` applies to the host `plugin-manager`
service, so a profile-less embedding still mounts the preset.