If you have to keep downloading updates every time you out a game in it generally means your cache is full and will need to be cleared. To do that go to your consoles memory> highlight the HDD> press Y.
A notification will pop up warning you this will perform maintenance, select yes.
After looking up that code, I see it has to do with the console update rather than game updates. You can try to manually update your console again to see if that clears it up. First download and make ready the update file (support.xbox.com/.../system-updates),
insert the storage device into the console, open up the Memory option, highlight the HDD and press Left Bumper, Right Bumper, X, Left Bumper, Right Bumper, X, accept the next prompt and let the console restart and update. Does this help?
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