I would start with something like this:
Up to you if you want to use refraction or transparency based transmission. The highlighted green node controls how reflective it is at facing angles. There is a facing selector currently going into the transmissive parts, normally for coated glass (like corrective glasses) this would be plugged into the glossy.
Since we can see some stress lines going on in your video, I’m guessing some polarisation is at play here which isn’t possible to simulate correctly. But in principle, a transparent object where you control how reflective it is, would be setup something similar to this.
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