How reliable are / were tapes?
The command module did not have a redundant computer or memory, but the lunar module came with a second computer [2] of a different type and running different software.
What you remember is probably the Gemini Guidance Computer's tape drive system, which consisted of three identical tape drives that were connected to the computer through a voter circuity.
[1] https://en.wikipedia.org/wiki/Core_rope_memory
[2] https://en.wikipedia.org/wiki/Apollo_Abort_Guidance_System
Re: core rope
Jesus. Now it’s TB/cm...