Your beef is with the EPA not Lucid and also not fully realizing how the ratings work. Lucid followed the rules as they are required. On top of that the EPA ratings are always said to be for comparison purposes only.
Car manufacturers can either use the basic EPA test or the more involved 5 cycle test. For the most part, of all the EV manufacturers, only Tesla and Lucid do the more expensive and involved 5 cycle tests.
The basic test, that most manufacturers use, just run the cars on dynamos at constant speed, no weather, temperature, incline, starting and stopping, etc. This results in a very high MPG. The EPA then requires they multiply that result by .7 to reflect real world factors. This results in the lower number most car manufacturers advertise. Because of this, they often beat their number in the real world.
Tesla and Lucid do a more involved 5 cycle test that is supposed to mimic real world. This allows them to advertise the results without any adjustment. It makes their numbers look much higher and, unfortunately, results in real world numbers that are lower.
The problem is with the EPA test rules. The 5 cycle test doesn't mimic real world as much as they should.
Lucid's defense would just be that they followed the EPA rules.
I'm not an expert on this and may have used slightly wrong terms for some of this post but I'm conveys the general reason why you're seeing what you see.
Additionally, if you're getting 3.6 on flat highway (speed, wind, temperature, AC are still factors) 3.6 X 112 battery size is 403 miles. Even at 3.2 X 112 it's 358 miles.
403 is better than 80% of the EPA rating and that's not knowing your speed, wind speed, outside temperature, and AC settings.