diff --git a/packages/ai/test/openai-responses-stateful.test.ts b/packages/ai/test/openai-responses-stateful.test.ts
index 0133a8f06..533c5ae5a 100644
--- a/packages/ai/test/openai-responses-stateful.test.ts
+++ b/packages/ai/test/openai-responses-stateful.test.ts
@@ -199,20 +199,26 @@ describe("openai-responses stateful chaining", () => {
 			{ messages: [oldestUser, firstUser] },
 			options,
 		).result();
+		const secondUser = { role: "user" as const, content: "Second question", timestamp: 1002 };
 		const secondResponse = await streamOpenAIResponses(
 			explicitPromptCacheModel,
 			{
-				messages: [
-					oldestUser,
-					firstUser,
-					firstResponse,
-					{ role: "user", content: "Second question", timestamp: 1002 },
-				],
+				messages: [oldestUser, firstUser, firstResponse, secondUser],
+			},
+			options,
+		).result();
+		const thirdUser = { role: "user" as const, content: "Third question", timestamp: 1003 };
+		const thirdResponse = await streamOpenAIResponses(
+			explicitPromptCacheModel,
+			{
+				messages: [oldestUser, firstUser, firstResponse, secondUser, secondResponse, thirdUser],
 			},
 			options,
 		).result();
 
 		expect(secondResponse.stopReason).toBe("stop");
+		expect(thirdResponse.stopReason).toBe("stop");
+		expect(sentRequests).toHaveLength(3);
 		expect(sentRequests[0]?.input).toEqual([
 			{
 				role: "user",
@@ -230,6 +236,10 @@ describe("openai-responses stateful chaining", () => {
 		expect(sentRequests[1]?.input).toEqual([
 			{ role: "user", content: [{ type: "input_text", text: "Second question" }] },
 		]);
+		expect(sentRequests[2]?.previous_response_id).toBe("resp_2");
+		expect(sentRequests[2]?.input).toEqual([
+			{ role: "user", content: [{ type: "input_text", text: "Third question" }] },
+		]);
 	});
 
 	it("chains turns without appending an extra no-reasoning developer item", async () => {
diff --git a/packages/catalog/test/build.test.ts b/packages/catalog/test/build.test.ts
index c9a3c9092..8507d061f 100644
--- a/packages/catalog/test/build.test.ts
+++ b/packages/catalog/test/build.test.ts
@@ -440,6 +440,14 @@ describe("OpenAI explicit prompt-cache breakpoint compat", () => {
 			buildOpenAICompat(completionsSpec({ id: "gpt-5.5", provider: "openai", baseUrl: "https://api.openai.com/v1" }))
 				.supportsPromptCacheBreakpoints,
 		).toBe(false);
+		expect(
+			buildOpenAIResponsesCompat({
+				id: "gpt-5.6",
+				provider: "openrouter",
+				name: "GPT 5.6 through OpenRouter",
+				baseUrl: "https://openrouter.ai/api/v1",
+			}).supportsPromptCacheBreakpoints,
+		).toBe(false);
 		expect(
 			buildOpenAIResponsesCompat({
 				id: "gpt-4.1",