Ensure LM Studio requests expose apply_patch tool

[hackall360]

Summary

• map LM Studio model slugs to a ModelFamily that prefers the function variant of the apply_patch tool and cover it with unit tests
• confirm LM Studio tool assembly emits the apply_patch entry for both Responses and Chat Completions payloads
• extend the LM Studio exec integration test to assert the captured request advertises the apply_patch function tool

Testing

• just fmt
• just fix -p codex-core
• just fix -p codex-exec
• cargo test -p codex-core lmstudio_models_use_function_apply_patch_tool -- --nocapture
• cargo test -p codex-core chat_completions_tools_include_apply_patch_for_lmstudio -- --nocapture
• cargo test -p codex-exec suite::lmstudio::exec_enables_apply_patch_tool_for_lmstudio -- --nocapture

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https://chatgpt.com/codex/tasks/task_b_68d80b5c8674832f9f0d86aad1b4e918