You do realize the Lucid Air stopped getting a $7500 credit anyway as of Jan 1, 2023, right?
Yes, the original Bush era EV tax credit had no income limits. The Democratic version came with income limits, provisions for material sources, and proposals were for differing amounts based on union worker status of people who made the cars. They didn't help Lucid or Tesla in particular, although Tesla retained the credit for some models. The original Republican model favored Lucid over Tesla since Tesla hit the volume allowed a long time ago.
The ongoing issue is what happens when Lucid makes more affordable models. Tesla has the advantage of high volume, allowing for thin margins. Most of the competition, including Lucid, does not have that advantage. It won't hurt Lucid for the Air.
Tax credits could affect the Gravity. Tesla managed to keep the tax credit for the Model X by playing games. They put the base price right under the threshold. Then they allowed for "free" hardware upgrades if you bought FSD, since software add-ons don't affect eligibility for the credit. So if you want a six seat Model X, you can select the base model, add the seats for $6500, then add FSD for $8000, causing the $6500 to drop off and making the vehicle eligible for the tax credit. So if you want a Model X with six seats, it's $5000 cheaper if you add FSD, assuming you qualify for the tax credit. If you wanted FSD anyway, you get the seat upgrade for "free" as long as you don't want to admit that FSD is effectively a $1500 option disguised as an $8000 option.
The Model X is becoming an increasingly small part of Tesla's business though, while the Gravity will be the sales leader for Lucid. The question is whether down the line, if Lucid has something that competes against the Model Y in terms of price, with specs, features and reviews that blow the Model Y away, people would buy it in higher numbers than they would for the Model Y. If they did, then Lucid would be able to afford thinner margins, and could pull it off without a tax credit.
The problem is that it took Tesla years to get to where it is now, and it's not just manufacturing ability. It's having a presence in enough locations. People who live in an area where there's no Lucid showroom are far less likely to buy one, especially if it's a mid priced vehicle.
It's hard to predict demand though. One thing that's holding back Lucid sales is latent demand among people who won't buy a car with CSS. That won't be an issue for future models, but could be hurting Lucid currently more than people realize. The sales staff might be able to explain things, but those who don't go to the showroom in the first place aren't factored in.