Ensure function parameter schemas include an explicit properties object before Responses requests are dispatched through LiteLLM.
Keep prompt/MCP permissive schemas compatible with stricter OpenAI-compatible chat validators and cover chat, legacy function, and native Responses tool inputs with regressions.
Prefer explicit tool_name examples and first prompt headings when deriving native Responses function tool names, falling back to the prompt filename only when no callable name is declared.
Add regression coverage for code_execution_tool, memory_load, call_subordinate, behaviour_adjustment, and filename-only fallback, and document the contract in responses_tools DOX.
Hide A0 connector remote tool prompts unless a connected CLI advertises the matching capability. Remote file access enables text_editor_remote, F4-enabled remote execution enables code_execution_remote, and supported enabled Computer Use that is not in rearm-required state enables computer_use_remote.
Apply the same gate to Responses API function-tool generation, move the prompt hook to the active tool-prompt extension path, and update connector prompt wording, DOX, and regression coverage.
Verified with:
- conda run -n a0 pytest tests/test_a0_connector_prompt_gating.py tests/test_default_prompt_budget.py tests/test_responses_architecture.py -q
