how will they get the oil out of the Gulf?

The UAE has some facilities to export on the outside of the Gulf and they can ship I believe ~1.8Mbpd on the ADCOP (Abu Dhabi Cross Oil Pipeline). That's only a fraction of their 4-5Mbpd production and I'm sure they're already using it so short-term I don't think it matters so much.

But when the Strait does open, which will happen eventually, the UAE will probably go to town so to speak, exporting well above what they might've otherwise as an OPEC member.

My suspicion is that this is what the UAE's move is really about and whY I think the US is giving at least tacit approval if they're not outright behind it.