refactor(host): rename the directory-picker dialog backend and kind to native

The browse interaction also presents a dialog (the in-app modal), so 'dialog'
failed to discriminate the two capability kinds; 'native' names where the
chooser runs. Package directory-picker-dialog -> directory-picker-native, kind
'dialog' -> 'native', with every seam/gateway/client/doc reference updated and
the seam Agent Note's naming rationale rewritten to match.

packages/host/directory-picker-native/src/invariant.ts

@@ -0,0 +1,25 @@
+/**
+ * Package-owned invariant companion for the native directory-picker backend.
+ * @module @deepseek-ai/dsh-host-directory-picker-native/invariant
+ */
+
+import type { Context } from 'cordis'
+import type { InvariantInstaller } from '@deepseek-ai/dsh-invariants'
+
+const PACKAGE_NAME = '@deepseek-ai/dsh-host-directory-picker-native'
+
+/** Cordis companion plugin name. */
+export const name = 'host-directory-picker-native-invariant'
+/** Service required before the companion can reserve package ownership. */
+export const inject = ['invariants']
+
+/** No runtime invariant: each pick is one stateless subprocess round trip; the chooser outcome is only the returned path. */
+const install: InvariantInstaller = () => {}
+
+/**
+ * Register the native directory-picker invariant companion.
+ * @param ctx - Cordis context carrying the invariant service.
+ * @returns the installed registration's disposer after setup succeeds.
+ */
+export const apply = (ctx: Context): Promise<() => void> =>
+  Promise.resolve(ctx.invariants.register(PACKAGE_NAME, install))