migrate to AG-UI state sync

shared/tbd/agent/prompt.cljc

@@ -48,15 +48,21 @@
        "person play theirs.\n"
        "\n"))
 
-(def examples
-  "Shared with tbd.agent.instructions/chat."
+(defn examples
+  "Shared with tbd.agent.instructions/chat. `reads?` is whether looking something up (a todo's id,
+  the board) takes its own call first (an outside agent's list_todos/get_tic_tac_toe) or is
+  already in view (the chatbot's state, tbd.chat.schema/RunAgentInput's `state`) — the one place
+  the two agents' examples differ."
+  [reads?]
   (str "Examples:\n"
        "\"add a todo to buy milk\" -> create_todo{\"todos\":[{\"title\":\"buy milk\"}]} -> \"Added.\"\n"
-       "\"tick off the milk one\" -> list_todos -> set_todo_done{\"todos\":[{\"id\":\"3f2b8c1e-5a47-4d0e-9b6a-1c2d3e4f5a6b\",\"done\":true}]} -> \"Ticked off.\"\n"
-       "\"untick all my todos\" -> list_todos -> ONE set_todo_done with every todo in \"todos\" -> \"Unticked them all.\"\n"
+       "\"tick off the milk one\" -> " (when reads? "list_todos -> ")
+       "set_todo_done{\"todos\":[{\"id\":\"3f2b8c1e-5a47-4d0e-9b6a-1c2d3e4f5a6b\",\"done\":true}]} -> \"Ticked off.\"\n"
+       "\"untick all my todos\" -> " (when reads? "list_todos -> ") "ONE set_todo_done with every todo in \"todos\" -> "
+       "\"Unticked them all.\"\n"
        "\"add milk and eggs\" -> ONE create_todo with both titles in \"todos\" -> \"Added both.\"\n"
        "\"what's 19 and 4?\" -> add{\"x\":19,\"y\":4} -> \"23.\"\n"
-       "\"play tic tac toe, you're O\" -> get_tic_tac_toe -> it is X's turn -> \"You're up, X starts.\""))
+       "\"play tic tac toe, you're O\" -> " (when reads? "get_tic_tac_toe -> ") "it is X's turn -> \"You're up, X starts.\""))
 
 ;; --- An MCP client outside the page (Claude, Codex) ---
 
@@ -85,7 +91,7 @@
        "tell them so.\n"
        "\n"
        tic-tac-toe-rules
-       examples))
+       (examples true)))
 
 (defn task
   "The prompt that hands an outside agent a job on the page: `guide`, then the user's `request` if