Final answer:
An excisional biopsy is the best next step to diagnose the breast mass of the 42-year-old woman with a family history of breast cancer and a palpable mass, after a recent normal mammogram.
Step-by-step explanation:
The best next step in managing this patient's breast mass, given the normal mammogram three months ago and the current examination findings, would be to proceed with a diagnostic excisional biopsy of the mass (Option D). A fine needle aspiration (Option A) may not provide conclusive diagnostic information, and with a family history of breast cancer, more definitive diagnosis is needed.
Observation (Option B) might delay necessary intervention, a repeat mammogram (Option C) so soon after a normal one is less likely to be informative, and while decreasing caffeine intake (Option E) could be considered for breast tenderness, it is not adequate in this case where a definitive diagnosis is required.