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Abstract

For weak gravitational lensing cosmology with the forthcoming Nancy Grace Roman Space Telescope, image coaddition, or construction of oversampled images from undersampled ones, is a critical step in the image processing pipeline. In the previous papers in this series, we have re-implemented the {\sc Imcom} algorithm, which offers control over point spread functions in coadded images, and applied it to state-of-the-art image simulations for Roman. In this work, we systematically investigate the impact of {\sc Imcom} hyperparameters on the quality of measurement results. We re-coadd the same $16$ blocks ($1.75 \times 1.75 \,{\rm arcmin}^2$, $2688 \times 2688$ pixels each) from OpenUniverse2024 simulations with $26$ different configurations in each of $5$ bands. We then compare the results in terms of $12$ objective evaluation criteria, including internal diagnostics of {\sc Imcom}, properties of coadded noise frames, measurements of injected point sources, and time consumption. We demonstrate that: i) the Cholesky kernel is the best known linear algebra strategy for {\sc Imcom}, ii) in general, a wide Gaussian target output PSF outperforms a smoothed Airy disk or a narrow Gaussian, iii) kernel-specific settings are worth considering for future coaddition, and iv) {\sc Imcom} experimental features studied in this work are either inconsequential or detrimental. We end this paper by discussing current and next steps of {\sc Imcom}-related studies in the context of Roman shear and clustering measurements.