- Remove final_output from tool definitions, dispatch, and misc tools
- Update system prompts to request summaries as regular markdown text
- Remove print_final_output from UiWriter trait and all implementations
- Remove final_output handling from agent core logic
- Rename final_output_summary → summary in session continuation
- Delete final_output test files
- Update tool count tests (12→11, 27→26)
This allows LLM summaries to stream through the markdown formatter
for a more natural, responsive user experience instead of buffering
everything into a tool call.
- Add final_output_called flag to track if LLM properly completed
- Auto-continue with prompt if tools executed but final_output missing
- Remove unused last_action_was_tool and any_text_response variables
- Simplifies previous complex incomplete response detection logic
