TPSM63606EVM: Could we support 12V 5A output ,When 12.5V input

Part Number: TPSM63606EVM
Other Parts Discussed in Thread: TPSM63606

Tool/software:

Hi TIer

Customer want to use TPSM63606 in 4 series lithium battery system.

So input voltage max is 4 * 4.2V

To allow the battery to discharge more fully, the customer needs to be able to convert a 12V/5A power supply to the back stage steadily as the battery voltage drops to 12.5V. However, when the customer actually tested the EVM board, they found that when the input voltage dropped to 13.5V, the EVM was unable to output 12V/5A. What is the reason for this. what to do, is there another power module recommendation?

Thank you very much.