The TPS3836K33 is the correct device variant to choose since the undervoltage threshold for this variant is 2.93 V typical. This meets the undervoltage fault requirement of the application. To achieve releasing the undervoltage fault condition after the battery is above 3 V for 200 ms, connect CT to VDD to select the 200-ms reset delay option. Choosing TPS3836 push-pull variant save a pullup resistor since no pullup resistor is required for the push-pull variant. These family of devices have 450-nA maximum Iq, which meets the current consumption requirement.