diff --git a/packages/resource-deleter/test/integration/cli.spec.ts b/packages/resource-deleter/test/integration/cli.spec.ts
index cf2f899..af1cad1 100644
--- a/packages/resource-deleter/test/integration/cli.spec.ts
+++ b/packages/resource-deleter/test/integration/cli.spec.ts
@@ -49,6 +49,15 @@ describe('Resource Deleter', () => {
     return client.execute(request);
   }
 
+  // Deleting in declaration order fails, because a resource cannot be removed
+  // while another still references it (a product-type referenced by a product,
+  // for example). Reverse order removes dependents first -- the same order the
+  // per-resource delete tests below rely on.
+  const clearAllResources = () =>
+    Promise.each(Object.keys(resources).reverse(), (name: MethodNames) => {
+      return clearData(apiConfig, name);
+    });
+
   beforeAll(async () => {
     // Get test credentials
     const credentials = await getCredentials();
@@ -59,18 +68,20 @@ describe('Resource Deleter', () => {
       credentials,
     };
 
+    // clear anything a previous run left behind before seeding, so the
+    // suite recovers on its own from an interrupted teardown
+    await clearAllResources();
+
     // create resources on API
     await Promise.each(Object.keys(resources), (name: MethodNames) => {
       return createData(apiConfig, name, resources[name]);
     });
-  }, 30000);
+  }, 60000);
 
   // clear resources on API
   afterAll(async () => {
-    await Promise.each(Object.keys(resources), (name: MethodNames) => {
-      clearData(apiConfig, name);
-    });
-  }, 45000);
+    await clearAllResources();
+  }, 60000);
 
   describe('CLI basic functionality', () => {
     it('should print usage information given the help flag', async () => {
diff --git a/packages/resource-deleter/test/integration/helpers/helpers.ts b/packages/resource-deleter/test/integration/helpers/helpers.ts
index 107fd49..8704775 100644
--- a/packages/resource-deleter/test/integration/helpers/helpers.ts
+++ b/packages/resource-deleter/test/integration/helpers/helpers.ts
@@ -41,7 +41,7 @@ export function clearData(
           : payload.body.results;
 
       return Promise.all(
-        results.map((result): Promise<ClientResponse<unknown[]>> => {
+        results.map(async (result): Promise<ClientResponse<unknown[]>> => {
           let request: ClientRequest;
 
           if (service instanceof ByProjectKeyCustomObjectsRequestBuilder) {
@@ -53,9 +53,28 @@ export function clearData(
               .delete({ queryArgs: { version: result.version } })
               .clientRequest();
           } else {
-            request = service
-              .withId({ ID: result.id })
-              .delete({ queryArgs: { version: result.version } })
+            const serviceBuilder = service.withId({ ID: result.id });
+            let version = result.version;
+
+            // A published product cannot be deleted, so unpublish it first.
+            // Unpublishing bumps the version, which the delete then needs.
+            // Mirrors how the deleter itself handles this in src/main.ts,
+            // including overriding a built request rather than calling
+            // .post(), whose update-action union is too complex to type.
+            if (result.masterData?.published) {
+              await client.execute({
+                ...serviceBuilder.get().clientRequest(),
+                method: 'POST',
+                body: JSON.stringify({
+                  version,
+                  actions: [{ action: 'unpublish' }],
+                }),
+              });
+              version += 1;
+            }
+
+            request = serviceBuilder
+              .delete({ queryArgs: { version } })
               .clientRequest();
           }