fix: reject json response mime with function calling

[he-yufeng]

Summary

• reject response_mime_type="application/json" when an agent has tools and function calling is enabled
• keep the reported working path (function_calling_config.mode="NONE") allowed
• add regression coverage for AUTO, ANY, implicit function calling, and NONE

Fixes #5735.

Validation

• .\.venv\Scripts\python.exe -m pytest tests\unittests\agents\test_llm_agent_fields.py -q -k "json_response_with_function_calling or validate_generate_content_config"
• .\.venv\Scripts\python.exe -m pytest tests\unittests\flows\llm_flows\test_basic_processor.py tests\unittests\flows\llm_flows\test_output_schema_processor.py -q
• .\.venv\Scripts\pyink.exe --check src\google\adk\agents\llm_agent.py tests\unittests\agents\test_llm_agent_fields.py
• git diff --check

Note: direct single-file mypy src/google/adk/agents/llm_agent.py still reports existing strict typing issues elsewhere in that file, outside this change.

[he-yufeng]

Refreshed on current main. Local validation after the refresh: targeted agent-field tests passed (8 passed / 37 deselected), the related llm_flow processor tests passed (19 passed), pyink --check, py_compile, and git diff --check all passed. I installed the missing local �nthropic test dependency in the clean-clone venv; no project files changed for that.

[rohityan]

Hi @he-yufeng , Thank you for your contribution! We appreciate you taking the time to submit this pull request. Can you please fix the failing tests before we can proceed with the review.

[he-yufeng]

Rebased onto current upstream/main and fixed the failing GEPA optimizer test by making its MagicMock(spec=Agent) include the tools and generate_content_config fields now read by LlmAgent validation.

Validation:

PYTHONUTF8=1 .\.venv\Scripts\python.exe -m pytest tests\unittests\agents\test_llm_agent_fields.py tests\unittests\optimization\gepa_root_agent_prompt_optimizer_test.py -q --basetemp .tmp\pytest-5749-fullfiles
# 51 passed, 10 warnings

PYTHONUTF8=1 .\.venv\Scripts\python.exe -m pyink src\google\adk\agents\llm_agent.py tests\unittests\agents\test_llm_agent_fields.py tests\unittests\optimization\gepa_root_agent_prompt_optimizer_test.py --check
PYTHONUTF8=1 .\.venv\Scripts\python.exe -m py_compile src\google\adk\agents\llm_agent.py tests\unittests\agents\test_llm_agent_fields.py tests\unittests\optimization\gepa_root_agent_prompt_optimizer_test.py
git diff --check

I also installed the missing local google-cloud-discoveryengine dependency in the clean-clone venv so the full test_llm_agent_fields.py file could run locally; no project files changed for that.