1.) I tried the Repair Install several times and it does not respond. It will show the exact thing as the Update, just with 0/30,383,826 on the progress bar.
2.) Yes, I've tried to run it as an administrator with no change.

Here is what sums.txt reads:

99397b90901c1a921856d89602f3d7c7338a370bdc8ae00fa0 0550f62642e915 *RecursionAchievementOverlay.rtst_pak
b4ea888bb687d0d5e47d2252cad7ee85f23f8b6173f0b7d201 9b234879812e5a *RecursionAchievements.rtst_pak
51edcfe34c1a003be109c37adc2f7652194494659523f890cd 8b94368d5be7fa *RecursionHUDNormal.rtst_pak
585a5d4cc1949caaed66a17e6f3a860ede943a17350a74df7d 6b03b83c442c69 *RecursionHUDSmall.rtst_pak
d67cf7325b0101e27c45fcc0e0f77f4dd32a928b422953f28e 01b9cc3237e777 *RecursionHUDTiny.rtst_pak
0862f086706b57ab3e42e0883bd196c0f3214935d192a0e500 784694a0260c02 *RecursionKillStreak.rtst_pak
c8f9c67afcc04a76139cfbfd326861ae3ed67ec8d50e0dd7b6 4b240ac6d89b38 *RecursionMethods.rtst_pak
3e6583708fc167b537a223647f753a240b59854fd3f460ea6b 25327db64b118d *RecursionStatsTab.rtst_pak
4867ccab1c36f33dec005e83eef8dfb6d3b166941a72400aa3 c963675c2a7dae *sha256sum.exe
e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca4 95991b7852b855 *sums.txt