SPD5118: How host-side pull-up resistor works in Open-Drain/Push-Pull compatible mode?

Hi Renesas, 

As JEDEC shown, the SPD Hub supports both open-drain mode and push-pull mode for I2C and I3C compatibility. Open-drain mode requires a pull-up resistor on board or on die, while push-pull mode doesn't. Is there already a specific function in the SPD5118 that could control the pull-up resistor on or off? If not, for board design, how could we switch-off external(on board) or internal(on-die) pull-up resistor when host-side convert to I3C (push-pull) mode from I2C(open-drain) mode?