i'd replace it. The small risk of a flat inducing crash, or a long walk home out weigh the cost of replacing it to me.
That said, i'd ride it until I could get it replaced.
If it's a front tire, I might move it to the back in the interim
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You could fall off a cliff and die.
You could get lost and die.
You could hit a tree and die.
OR YOU COULD STAY HOME AND FALL OFF THE COUCH AND DIE.