At your risk.
The Es can be stacked together. The Is are stacked together.
For example Scotch invisible tape can be placed on top of the Es before placing next to them the Is.
When there is DC current flowing in the winding of a transformer, an airgap can prevent magnetic saturation and even increase incremental inductance/
Further reading.
Magnetic Circuits - M.I.T.
AI
The classic old MIT textbook on this topic is Magnetic Circuits and Transformers: A First Course for Power and Communication Engineers, written by members of the staff of the Department of Electrical Engineering at the Massachusetts Institute of Technology
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