Auto-update API lists and context files

Author: github-actions[bot]

llms.txt

@@ -10,6 +10,7 @@
 - Tic Tac Toe(https://github.com/AnswerDotAI/fasthtml-gallery/blob/main/examples/applications/tic_tac_toe/app.py)
 
 ## Dynamic User Interface (Htmx)
+- Active Search(https://github.com/AnswerDotAI/fasthtml-gallery/blob/main/examples/dynamic_user_interface_(htmx)/active_search/app.py)
 - Animations(https://github.com/AnswerDotAI/fasthtml-gallery/blob/main/examples/dynamic_user_interface_(htmx)/animations/app.py)
 - Bulk Update(https://github.com/AnswerDotAI/fasthtml-gallery/blob/main/examples/dynamic_user_interface_(htmx)/bulk_update/app.py)
 - Cascading Dropdowns(https://github.com/AnswerDotAI/fasthtml-gallery/blob/main/examples/dynamic_user_interface_(htmx)/cascading_dropdowns/app.py)

llms_ctx.txt

@@ -493,6 +493,9 @@ def homepage():
   </example>
 </category>
 <category name="Dynamic User Interface (Htmx)">
+  <example name="Active Search">
+404: Not Found
+  </example>
   <example name="Animations">
 import random
 from fasthtml.common import *