Terahertz time domain spectroscopy (THz-TDS) has emerged as a versatile tool for investigating the physical properties of materials. However, its potential for gas-phase studies has remained largely unexplored, and it gained attention recently. We present here an extended application of the Constrained Reconstruction Super-Resolution (CRSR) algorithm for NH3. Leveraging an improved experimental setup, we were able to enhance the sensitivity of the spectrometer and test the algorithm with more rotational transitions. Moreover, we introduce a novel approach for quantifying the uncertainty of THz-TDS measurements, thus establishing a framework to evaluate the sensing capabilities of this technique.