Lol esps are super easy. I’d just peruse through instructables and find a project that is what you want and do that.
Actually I’m doing that right now with the pan and tilt web controlled camera.
ROYOHO M7011-B-EL is a custom IC that specific to the product line. Royoho is the actual manufacturer of the mirror. They have products that are all made for wet locations; mirrors, dvd players, TVs, etc and there’s a number of them based on a partially mirrored surface and capacitive touch controls.
There may be commodity dies inside that chip and it probably has functionality not used in your product. As a guess, the B-EL indicates base electronics.
The board has some unpopulated pads around a U2 that maybe for a another power control chip. Purely speculation based on what their other mirror options include. Some of their mirrors are also Blu Tooth speakers.