Assume that a classification model is built using logistic regression to obtain the accuracy of training samples and test samples. Then, add a new feature to the data, keep other features unchanged, and train the model again. Which of the following statements is true?

A$.$ The accuracy of training samples remains unchanged or increases.

B$.$ The accuracy of training samples will definitely decrease.

C$.$ The accuracy of test samples will definitely decrease.

D$.$ The accuracy of test samples remains unchanged or increases.