A long string of lies

Logic Level 1

I have \(3(3^{20!-1}-1)\) statements, which state something about another statement, as follows.

Statement \(1\): The next statement is a lie.

Statement \(2\): The next statement is a lie.

Statement \(3\): The next statement is true.

Statement \(4\): The next statement is true.

Statement \(5\): The next statement is a lie.

Statement \(6\): The next statement is a lie.

Statement \(7\): The next statement is true.

Statement \(8\): The next statement is true.

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Statement \(3(3^{20!-1}-1)\): The first statement is a lie.

If the statement \(3^{5}\) statements before the last statement is a lie, then is statement \( 7^{12} +1\) true or false?

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