`BaseOAuthClientProvider.saveClientInformation` treated every save without an
explicit `registrationKind` as DCR. The SDK reaches it from three places in
`auth()` and only one is a dynamic registration, so the issuer-binding write
overwrote the `cimd` provenance our own pre-registration had just stored — and
Connection Info reported `Dynamic (DCR)` for a connection that never issued a
`POST /oauth/register`.
Recover the kind instead: a `client_id` equal to the configured
`clientMetadataUrl` is CIMD (which also covers the SDK's own CIMD write), and
otherwise a stored registration with the same `client_id` carries its recorded
kind forward. Matching on `client_id` keeps stale CIMD provenance from leaking
onto a later DCR registration for the same server.
Co-Authored-By: Claude Opus 5 (1M context) <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01Lmj6X2epWpPE7ScdSKQmtA
Signed-off-by: cliffhall <cliff@futurescale.com>