When someone asks for forgiveness, must the injured person explicitly say “I forgive you”?

A source-based Torah discussion of the question: When someone asks for forgiveness, must the injured person explicitly say “I forgive you”? This localized discovery layer presents the canonical issue for search and study without adding a new practical ruling. The author-fidelity publication clearance is preserved, while the full Hebrew source remains the controlling text for its reasoning, qualifications and conclusion.