Since the TTGO has a plug, I was wondering if the combo could be powered by a single li-ion battery without any extra hardware, as an alternative to hanging a USB power bank.
The ESP32 will want 5V or 3.3V with a single battery a 3.3V LDO could be used between the battery and the ESP32 to supply 3.3V or use a step up 5V regulator to supply 5V.
A USB power bank is a set of LiPo batteries in a case with electronics to make 5V. With that battery, I'd use 2 in series, a USB power bank can be made.