Hello again :)
Please go into your C:\ drive, and delete any folders containing 26 random characters (no need to count exactly) then try running your redist package again. You have a very rare problem actually: in all my years of fixing Windows Update issues, I have seen error code 0x8024200D a lot. Yes, a lot. However, not once have I ever seen it *not* fixed by running the redistributable manually (this tends to be an error which affects updates through the UI after a previous failure).
However, your logs have given some clues as to where to look next, so we aren't without leads.
If it still fails, please upload another copy of C:\Windows\Logs\CBS so I can see how what I have done has changed the logs, and a copy of C:\Windows\WindowsUpdate.log.
Thank you!
Richard