diff --git a/docs/environment-variables.md b/docs/environment-variables.md
index bf69a11f3..f4cac96ab 100644
--- a/docs/environment-variables.md
+++ b/docs/environment-variables.md
@@ -267,7 +267,7 @@ SearXNG also reads the equivalent `searxng.endpoint`, `searxng.token`, `searxng.
 `searchAnthropic()` resolves credentials in this order:
 
 1. `ANTHROPIC_SEARCH_API_KEY`
-2. `authStorage.getApiKey("anthropic")` fallback credentials (runtime and config overrides, stored OAuth, a login-sourced API key, generic Anthropic environment fallback, then other stored API keys; the generic environment fallback is `ANTHROPIC_FOUNDRY_API_KEY` in Foundry mode, otherwise `ANTHROPIC_OAUTH_TOKEN` or `ANTHROPIC_API_KEY`)
+2. `authStorage.getApiKey("anthropic")` fallback credentials (runtime and config overrides, stored OAuth, a login-sourced API key, generic Anthropic environment fallback, then other stored API keys; the environment fallback is `ANTHROPIC_FOUNDRY_API_KEY` → `ANTHROPIC_OAUTH_TOKEN` → `ANTHROPIC_API_KEY` in Foundry mode, or `ANTHROPIC_OAUTH_TOKEN` → `ANTHROPIC_API_KEY` otherwise)
 
 For either credential path, base URL resolution is:
 
diff --git a/docs/sdk.md b/docs/sdk.md
index c06dec3a4..182e8c7ab 100644
--- a/docs/sdk.md
+++ b/docs/sdk.md
@@ -173,10 +173,11 @@ If restore fails, `modelFallbackMessage` explains fallback.
 
 1. runtime override (`setRuntimeApiKey`, used by CLI `--api-key`)
 2. config-sourced API key override (`models.yml` provider `apiKey`)
-3. stored API-key credential in `agent.db` / broker-backed storage
-4. stored OAuth credential, including refresh when needed
+3. stored OAuth credential, including refresh when needed
+4. API key persisted by a successful `/login`
 5. provider environment variables
-6. custom-provider resolver fallback
+6. other stored API-key credential in `agent.db` / broker-backed storage
+7. custom-provider resolver fallback
 
 ## Event subscription model