ios: bound assistant image sets and keep output tools quiet

ios/Packages/Sybil/Tests/SybilTests/AgentTests.swift

@@ -347,6 +347,33 @@ struct AgentTests {
         #expect(presentation.isTyping(now: now.addingTimeInterval(7.3)))
     }
 
+    @Test func outputImageActivityKeepsImageReplyTypingSuppressed() throws {
+        var presentation = AgentPresentation(), state = AgentRoomState()
+        let now = Date(timeIntervalSince1970: 100)
+        state.activity.isThinking = true
+        presentation.sent(now: now, activity: state.activity)
+        #expect(presentation.isTyping(now: now.addingTimeInterval(0.3)))
+        let image = AgentAttachment(id: "image", kind: .image, filename: "image.png", mimeType: "image/png", sizeBytes: 12, sha256: String(repeating: "a", count: 64))
+        var reply = agentMessage("image-reply", entry: "1", info: ["status": .string("complete"), "agentAttachments": .array([image.metadataValue])])
+        reply.content = ""
+        let page = agentPage([reply], cursor: "1")
+        var after = state; try after.apply(page)
+        presentation.receive(.messages(page), before: state, after: after, replay: false, now: now.addingTimeInterval(1))
+        state = after
+        #expect(presentation.suppressed)
+
+        after.activity.tools = [.init(id: "output-activity", name: "output_image", status: "initiated")]
+        presentation.receive(.activity("root", after.activity), before: state, after: after, replay: false, now: now.addingTimeInterval(2))
+        state = after
+        #expect(!presentation.isTyping(now: now.addingTimeInterval(3)))
+
+        let tool = agentPage([agentMessage("output-tool", entry: "2", role: .tool, info: ["toolName": .string("output_image"), "status": .string("initiated")])], cursor: "2")
+        try after.apply(tool)
+        presentation.receive(.messages(tool), before: state, after: after, replay: false, now: now.addingTimeInterval(4))
+        #expect(presentation.suppressed)
+        #expect(!presentation.isTyping(now: now.addingTimeInterval(5)))
+    }
+
     @Test func socketURLAndAuthentication() throws {
         let config = APIConfiguration(baseURL: URL(string: "https://sybil.bajor.cloud/api/?accidental=query")!, authToken: " token ")
         #expect(try config.agentWebSocketURL().absoluteString == "wss://sybil.bajor.cloud/api/v1/agent/ws")