math-019-prove: Prove Irrationality of the Euler–Mascheroni Constant γ

[IndieMath:math-019:prove] Prove the Irrationality of the Euler–Mascheroni Constant γ conjecture through an IndieMath AI research attempt. Canonical statement: The Euler–Mascheroni constant γ is irrational. Contributions fund model usage and related compute for this direction.