Step 1: Cross-presentation is the ability of dendritic cells to present exogenous antigens on MHC class I molecules to CD8\(^+\) T cells.
Step 2: BATF3 (P) is a transcription factor crucial for the development of CD8\(^+\) dendritic cells that specialize in cross-presentation. Hence, BATF3 is required.
Step 3: MARCH-1 (Q) regulates MHC class II trafficking, not directly involved in cross-presentation.
Step 4: SLC10A1 (R) is a bile acid transporter, irrelevant to cross-presentation.
Step 5: CLIP (S) is associated with MHC class II antigen presentation, not cross-presentation.
Therefore, only BATF3 is essential. Correct answer is (A).