Given two options, we can use 'either and 'neither' to show no preference.
Do you want to watch A or B
Neither, I don't like either.
The only option I can see for more than two options is: 'any' and 'none'
Do you want to watch A, B, C ... ?
None, I don't like any.
Actual Question: Is there, or has there ever been a word to show no preference for 3 options?
Sometimes we have an extra, sometimes uncommon, option for a 3-type question. This question is searching for a similar option for "either"
How many times have you eaten sushi?
What is your phone number?
Oh, seven, double five, treble zero
9 is triple 3