Can you update even after you delete bloat?

I had deleted several Google apps I never used with Titanium Backup (Google Music, Movies, Hangouts)

And was wondering, when we get the Marshmallow update will the update go thru even after them few system apps are removed? Or would it fail?

Reason I ask is cuz Titanium Backup ain't letting me reinstall them 😪

Thanks in advance

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