Why is there only "T" and "F" in a truth table?

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Usually when creating a truth table containing two statements, we make four rows and two columns which we fill with T and F.

So, if there are $(n)$ statements, we make $(2^n)$ rows and $n$ columns which we fill with T and F.

However I have noted from my this question the possibility that if a certain statement is true, the next statement is not a proposition OR if a certain statement is false, the next statement is not a proposition. This will make the "next statement" neither true nor false.

So there must be actually 3 varying entries (T,F,N/A) in a truth table and not two (T,F) as is usually done.

If the statement is a proposition and is true, then T

If the statement is a proposition and is false, then F

If the statement is not a proposition, then N/A

So, if there are $(n)$ statements, we should make $(3^n)$ rows and $n$ columns which we fill with T,F and N/A.