I treated each power column as its merged spectrum and fitted the dominant peak near 1.34 eV with a Lorentzian plus a linear background. The fitted peak intensities and positions for every power are in [lorentzian_peak_results.csv](<BENCH>/raw/commercial/luna-high/bench/t-pl/run-12/lorentzian_peak_results.csv).

- [Peak intensity vs power plot](<BENCH>/raw/commercial/luna-high/bench/t-pl/run-12/peak_intensity_vs_power.png): allometric exponent \(b = 0.9233 \pm 0.0121\).
- [Peak position vs power plot](<BENCH>/raw/commercial/luna-high/bench/t-pl/run-12/peak_position_vs_power.png): allometric exponent \(b = 0.004466 \pm 0.000083\).

Uncertainties are 1σ standard errors from the log space allometric fits. The requested result is the intensity scaling exponent.

RESULT: b = 0.9233 ± 0.0121