Dear Igor,
As I understand, if we didn't change the DCEDTE control bit, it should be set as DCE (0), by default. No? So, actually, UART3_TXD had to act as an output. The pin is indeed acts as an output, it constantly set to 3.3V.
I also checked the RTS and CTE pins, to verify if we are in DCE or DTE mode. Seems that CTS acts as an output, which means we are in a DCE mode, no?
We also tried to modify the DCEDTE control bit, but seems that we have no control. CTS remained as an output, while RTS remained as an input.
Looks like something else is overruling our control.