I couldn’t get EG95 in time, so I assembled one with EG912U instead, which is pin compatible with the design, though at a lower maximum data rate.
(There is a capacitor unsoldered on one side in the image, I fixed it afterwards.)
It boots up, detects my SIM card and connects to cellular network correctly, and I can send SMS using AT commands.
Next I’d like to do more testings before I consider this design in a usable state.