It saved my project! After hours of trying to tweak the parameters of my Pi's power management hat without success, I found a solution for avoiding my power bank to go into sleep mode. Super easy to use, just plugged it between my power bank and my Pi with the power management hat and it keeps the power available to the Pi anytime it is needed.
Works excactly as expected. Easy to adjust with the onboard potentiometer. For outdoor use (I mainly need the powerbank for some accessories of my astronomical telescope) I will probably put a piece of heat shrink tube around it.