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Create a command-line tool /usr/local/bin/patch apply that reads a base file, a patch file (unified diff…

Create a command-line tool /usr/local/bin/patch apply that reads a base file, a patch file (unified diff…: a task in termgrade-bandcentral-gemma4-31b-bash: TermGrade Band-Central: the 151-task selection and its splits (Harbor dataset). Input: patch apply <base file <patch file <output file

The task

**Input:** `patch_apply <base_file> <patch_file> <output_file>`

Part of ai-and/termgrade-bandcentral-gemma4-31b-bash.