Waitung for the capacitor to be charged?

[KungPhoo]

Hi. I'm not an electronic expert, and currently power an ESP32-CAM with a solar charged battery. I use a TP4056 for the charging I use a TP4056. My solar panel has peaks of 8V. I wanted to use a supercapacitor instead now. So, the solar cell should charge the capacitor until I have enough energy to send an image to a server. The ESP32 takes ~ 250mA and I need some 10 seconds to take a picture and send it. So 3.3V250e-3A10/3600h=23mWh. When the capacitors are charged this much, I want the ESP to power on and send the picture - no matter if it's 5 minutes or 30 hours from the last sending. The problem is, the ESP draws like 10uA in "deep sleep" mode. This is quite something. I fear the capacitor will never charge if this load is always attached. Also, I fear, that the ESP will be powered, when the capacitor is not fully charged, yet. So the sending will abort after like 3 seconds.

Is there any way to archive this?