I would research how much current the esp32cam uses in deep sleep mode. Deep sleep current can be surprisingly high for some boards.
Boards with option to power via battery trend to have power optimization.
The video linked here gives a good overview.
Some esp32cam deep sleep current search results…
https://www.google.com/search?q=esp32+cam+deep+sleep+power+consumption+site:www.reddit.com&sca_esv=556380861&prmd=visn&sxsrf=AB5stBgNAsOrXgSK-1oWbjICoeBTaS-BRw:1691877088965&sa=X&ved=2ahUKEwjnvJCnjdiAAxXpXWwGHTx7CxwQrQIoA3oECDMQBA&biw=393&bih=737&dpr=2.75