MESA input and output files associated with the published work. We used MESA version r-10398 and MESA SDK version 20180822. The MESA_inputs.tar.gz contains work directories for each overshoot parameter (f) values analyzed in the paper. The models can be run directly from each working directory by making (./mk) and then running MESA (./rn). The modified run-script (rn) starts a MESA run from pre-main-sequence stage if the LOGS directory is absent, otherwise restarts from the latest photo saved in the photos directory. Each working directory has modified run_star_extras.f file that saves compactness parameters, mu_4, M_4 as extra history columns, as well as implements additional temporal resolution constraints as explained in our paper II (Wagle & Ray 2019, DOI:10.3847/1538-4357/ab5d2c, section 2.2). The f_*.tar.gz contains a history.data file (and corresponding binary file history.npy that can be directly loaded into python data structure), as well as several profile.data files and a saved model at CC stage for each 'f' value. It also contains png_plots generated by inlist_pgstar and the movies generated from these files using "images_to_movie.sh" script (available with MESA SDK).