fix(api): fix workflow state persistence issue (#31752)

Ensure workflow pause configuration is correctly set for all entrypoints.

api/tests/unit_tests/core/plugin/test_backwards_invocation_app.py

@@ -0,0 +1,72 @@
+from types import SimpleNamespace
+from unittest.mock import MagicMock
+
+from core.app.layers.pause_state_persist_layer import PauseStateLayerConfig
+from core.plugin.backwards_invocation.app import PluginAppBackwardsInvocation
+from models.model import AppMode
+
+
+def test_invoke_chat_app_advanced_chat_injects_pause_state_config(mocker):
+    workflow = MagicMock()
+    workflow.created_by = "owner-id"
+
+    app = MagicMock()
+    app.mode = AppMode.ADVANCED_CHAT
+    app.workflow = workflow
+
+    mocker.patch(
+        "core.plugin.backwards_invocation.app.db",
+        SimpleNamespace(engine=MagicMock()),
+    )
+    generator_spy = mocker.patch(
+        "core.plugin.backwards_invocation.app.AdvancedChatAppGenerator.generate",
+        return_value={"result": "ok"},
+    )
+
+    result = PluginAppBackwardsInvocation.invoke_chat_app(
+        app=app,
+        user=MagicMock(),
+        conversation_id="conv-1",
+        query="hello",
+        stream=False,
+        inputs={"k": "v"},
+        files=[],
+    )
+
+    assert result == {"result": "ok"}
+    call_kwargs = generator_spy.call_args.kwargs
+    pause_state_config = call_kwargs.get("pause_state_config")
+    assert isinstance(pause_state_config, PauseStateLayerConfig)
+    assert pause_state_config.state_owner_user_id == "owner-id"
+
+
+def test_invoke_workflow_app_injects_pause_state_config(mocker):
+    workflow = MagicMock()
+    workflow.created_by = "owner-id"
+
+    app = MagicMock()
+    app.mode = AppMode.WORKFLOW
+    app.workflow = workflow
+
+    mocker.patch(
+        "core.plugin.backwards_invocation.app.db",
+        SimpleNamespace(engine=MagicMock()),
+    )
+    generator_spy = mocker.patch(
+        "core.plugin.backwards_invocation.app.WorkflowAppGenerator.generate",
+        return_value={"result": "ok"},
+    )
+
+    result = PluginAppBackwardsInvocation.invoke_workflow_app(
+        app=app,
+        user=MagicMock(),
+        stream=False,
+        inputs={"k": "v"},
+        files=[],
+    )
+
+    assert result == {"result": "ok"}
+    call_kwargs = generator_spy.call_args.kwargs
+    pause_state_config = call_kwargs.get("pause_state_config")
+    assert isinstance(pause_state_config, PauseStateLayerConfig)
+    assert pause_state_config.state_owner_user_id == "owner-id"