You can use typeof myStrings[number], but only if myStrings has as const telling TypeScript that its contents don't change:
const myStrings = ["one", "two", "three"] as const;
type MyStringsElement = typeof myStrings[number]; // For convenience
const newString: MyStringsElement = "two";
Playground example
With the myStrings contents you've shown, the type of newString will be "one" | "two" | "three". That's a union of three string literal types, meaning that the only valid values for newString are "one", "two', or "three" (as compile-time constant values).
(Note: typeof myStrings[number] is evaluated by TypeScript as (typeof myStrings)[number], which may be surprising. I used to think I needed the parentheses, and I'm not sure it's not best to have them for clarity even if they aren't needed... :-) )
newStringwould be a string that exists in myStrings¯\_(ツ)_/¯