M5Tough Battery and IMU

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I am searching for a waterproof M5Stack module with battery and IMU. M5Touch could be a solution. But I can't figure out if its possible to add one of the battery modules and if it will fit in the case.

Do you know which of the Battery Bottoms will fit?
Does the IMU Bottom of the Core2 fit?

An alternative solution would be a M5StickC Plus in a waterproof case.

Thanks in advance.