Replace gr.api() (not in installed Gradio) with hidden-button api_name registrations

app.py

@@ -1145,13 +1145,27 @@ Chef-facing operators over three sibling ingredient embeddings (Cooc / Core / Ch
         show_progress="hidden",
     )
 
-    # ---- Public API endpoints ----
-    gr.api(api_neighbors,         api_name="neighbors")
-    gr.api(api_slerp,             api_name="slerp")
-    gr.api(api_arithmetic,        api_name="arithmetic")
-    gr.api(api_embed,             api_name="embed")
-    gr.api(api_list_directions,   api_name="list_directions")
-    gr.api(api_list_factor_modes, api_name="list_factor_modes")
+    # ---- Public API endpoints via hidden buttons (gr.api not always available) ----
+    with gr.Group(visible=False):
+        api_in_s1 = gr.Textbox(visible=False)
+        api_in_s2 = gr.Textbox(visible=False)
+        api_in_n  = gr.Number(visible=False, value=5)
+        api_in_n2 = gr.Number(visible=False, value=30)
+        api_in_l1 = gr.JSON(visible=False, value=[])
+        api_in_l2 = gr.JSON(visible=False, value=[])
+        api_out   = gr.JSON(visible=False)
+        api_btn_neigh = gr.Button(visible=False)
+        api_btn_slerp = gr.Button(visible=False)
+        api_btn_arith = gr.Button(visible=False)
+        api_btn_embed = gr.Button(visible=False)
+        api_btn_dirs  = gr.Button(visible=False)
+        api_btn_modes = gr.Button(visible=False)
+        api_btn_neigh.click(api_neighbors,         inputs=[api_in_s1, api_in_s2, api_in_n],  outputs=api_out, api_name="neighbors")
+        api_btn_slerp.click(api_slerp,             inputs=[api_in_s1, api_in_s2, api_in_n2, gr.Textbox(visible=False, value="chem"), api_in_n], outputs=api_out, api_name="slerp")
+        api_btn_arith.click(api_arithmetic,        inputs=[api_in_l1, api_in_l2, api_in_s1, api_in_n], outputs=api_out, api_name="arithmetic")
+        api_btn_embed.click(api_embed,             inputs=[api_in_s1, api_in_s2],            outputs=api_out, api_name="embed")
+        api_btn_dirs.click(api_list_directions,    inputs=[api_in_s1],                       outputs=api_out, api_name="list_directions")
+        api_btn_modes.click(api_list_factor_modes, inputs=[api_in_s1],                       outputs=api_out, api_name="list_factor_modes")
 
     gr.Markdown(
         """---