storcon: add missing switch_timeline_membership method to sk client (#11850)

## Problem

`switch_timeline_membership` is implemented on safekeeper's server side,
but the is missing in the client.

- Part of https://github.com/neondatabase/neon/issues/11823

## Summary of changes
- Add `switch_timeline_membership` method to `SafekeeperClient`

safekeeper/client/src/mgmt_api.rs

@@ -121,6 +121,20 @@ impl Client {
         resp.json().await.map_err(Error::ReceiveBody)
     }
 
+    pub async fn switch_timeline_membership(
+        &self,
+        tenant_id: TenantId,
+        timeline_id: TimelineId,
+        req: &models::TimelineMembershipSwitchRequest,
+    ) -> Result<models::TimelineMembershipSwitchResponse> {
+        let uri = format!(
+            "{}/v1/tenant/{}/timeline/{}/membership",
+            self.mgmt_api_endpoint, tenant_id, timeline_id
+        );
+        let resp = self.put(&uri, req).await?;
+        resp.json().await.map_err(Error::ReceiveBody)
+    }
+
     pub async fn delete_tenant(&self, tenant_id: TenantId) -> Result<models::TenantDeleteResult> {
         let uri = format!("{}/v1/tenant/{}", self.mgmt_api_endpoint, tenant_id);
         let resp = self

storage_controller/src/safekeeper_client.rs

@@ -98,6 +98,23 @@ impl SafekeeperClient {
         )
     }
 
+    #[allow(unused)]
+    pub(crate) async fn switch_timeline_membership(
+        &self,
+        tenant_id: TenantId,
+        timeline_id: TimelineId,
+        req: &models::TimelineMembershipSwitchRequest,
+    ) -> Result<models::TimelineMembershipSwitchResponse> {
+        measured_request!(
+            "switch_timeline_membership",
+            crate::metrics::Method::Put,
+            &self.node_id_label,
+            self.inner
+                .switch_timeline_membership(tenant_id, timeline_id, req)
+                .await
+        )
+    }
+
     pub(crate) async fn delete_tenant(
         &self,
         tenant_id: TenantId,