AMC 10A 2022 Problem 1

[system]

What is the value of

3+\dfrac{1}{3+\dfrac{1}{3+\dfrac{1}{3}}} ?

Answer Choices
A. \dfrac{31}{10}
B. \dfrac{49}{15}
C. \dfrac{33}{10}
D. \dfrac{109}{33}
E. \dfrac{15}{4}