Fill gaps from assistant conversations: reconfigure connection and wizard empty state

src/customer-guides/update-connection.mdx

@@ -1,5 +1,6 @@
 ---
 title: "Update a connection"
+description: "Reauthenticate a SaaS connection from the Manage tab in the UI component, or change installation objects, fields, and mappings without disconnecting."
 ---
 
 If the credentials you provided for an integration need to be updated, you can use the **Manage** tab in the UI component to update your connection.
@@ -20,6 +21,13 @@ Re-authentication for the connection may be required in the following scenarios:
 
 2. Under the **Update connection** section enter credentials as needed and click the **Next** button.
 
+## Update the integration configuration
+
+You can change what an integration reads or writes without disconnecting. The connection (credentials) and the installation configuration (objects, fields, mappings, schedule) are stored separately, so updating the configuration keeps the existing connection in place.
+
+- **In the UI component**: open the **Manage** tab and edit the objects, fields, or mappings you want to change. The [InstallIntegration](/embeddable-ui-components#install-integration) component displays the current configuration when an installation already exists for the [group](/terminology#group), so end users can update it in place.
+- **Via API**: call [Update an installation](/reference/installation/update-an-installation) to replace the full installation config, or [Update an installation object](/reference/installation/update-an-installation-object) to patch a single object's config (fields, schedule, filters). Neither endpoint touches the underlying connection.
+
 ## If Manage tab isn't visible
 
 If you do not see the **Manage** tab, it means that the app builder needs to update `@amp-labs/react` to v2.7+ in their code.

src/embeddable-ui-components.mdx

@@ -1,5 +1,6 @@
 ---
 title: "Prebuilt UI components"
+description: "Drop InstallIntegration, ConnectProvider, and related React components into your app so end users can connect and configure SaaS integrations."
 ---
 
 ## Project setup
@@ -173,6 +174,8 @@ To activate wizard mode, pass `variant="wizard"` to the `InstallIntegration` com
 
 When no installation exists, the wizard renders. If an installation already exists, the standard configuration UI is shown instead.
 
+If the object-selection step shows **"No objects available for this integration"**, the integration in the currently deployed `amp.yaml` has no objects defined under `read.objects` or `write.objects`. Add the objects you want end users to configure, then redeploy with the [amp CLI](/cli/overview). Also confirm you are pointing the component at the same project the manifest was deployed to. See [Read objects](/read-actions) and [Write objects](/write-actions) for the required manifest format.
+
 | Feature | Supported |
 |---|---|
 | [Read objects](/read-actions) | Yes |