[docs][App] Include components in the API reference (#16414)

Author: akihironitta

.gitignore

@@ -166,7 +166,6 @@ src/lightning_app/ui/*
 hars*
 artifacts/*
 *docs/examples*
-*docs/source-app/api*
 
 # tutorials
 our_model.tar

docs/source-app/api_reference/components.rst

@@ -18,8 +18,18 @@ ___________________
     :nosignatures:
     :template: classtemplate.rst
 
+    ~database.client.DatabaseClient
+    ~database.server.Database
     ~python.popen.PopenPythonScript
     ~python.tracer.TracerPythonScript
     ~training.LightningTrainerScript
     ~serve.gradio_server.ServeGradio
     ~serve.serve.ModelInferenceAPI
+    ~serve.python_server.PythonServer
+    ~serve.streamlit.ServeStreamlit
+    ~multi_node.base.MultiNode
+    ~multi_node.lite.LiteMultiNode
+    ~multi_node.pytorch_spawn.PyTorchSpawnMultiNode
+    ~multi_node.trainer.LightningTrainerMultiNode
+    ~serve.auto_scaler.AutoScaler
+    ~serve.auto_scaler.ColdStartProxy

docs/source-app/api_reference/frontend.rst

@@ -21,3 +21,5 @@ ___________________
     ~web.StaticWebFrontend
     ~stream_lit.StreamlitFrontend
     ~panel.PanelFrontend
+
+Learn more about :ref:`Frontend's <ui_and_frontends>`.