Let $\bullet$ be the operation such that $a\bullet b=10a-b$. What is the value of $\left(\left(\left(2\bullet0\right)\bullet1\right)\bullet3\right)$?

$\text{(A) }1969\qquad\text{(B) }1987\qquad\text{(C) }1993\qquad\text{(D) }2007\qquad\text{(E) }2013$
1. Define the operation $\bullet$ such that $a \bullet b = 10a - b$.
2. Evaluate the innermost expression first: 
   \[
   2 \bullet 0 = 10 \cdot 2 - 0 = 20
   \]
3. Use the result from step 2 to evaluate the next expression:
   \[
   20 \bullet 1 = 10 \cdot 20 - 1 = 200 - 1 = 199
   \]
4. Finally, use the result from step 3 to evaluate the outermost expression:
   \[
   199 \bullet 3 = 10 \cdot 199 - 3 = 1990 - 3 = 1987
   \]

\[
\boxed{1987}
\]