I'll chime in as well, since I have had the pleasure of owing my Lucid AGT for a year now & 10K miles. And have owned BMWs in the past and own an X7 M60i (fully optioned out) currently.
Charging: You will have similar experience with EA on both cars. This is a draw.
Build Quality: Lucid is built very well; but it is still a nascent company compared to the rich history of BMW. I will give this to BMW
Service Network: Lucid mobile service is A+++. But then again due to BMW history, you are going to get better service coverage with BMW. Again I will give this to BMW.
Price: Since you did not mention which Air, I will assume you are going with a Touring, which is comparable to i5 M60. This will be a draw imo. (depending on options).
Resale: I'm seeing AGTs now for about $80K to $90K in the open market. Original sticker was about $140K without WA taxes. Almost 35% to 40% drop in value after a year. (no. I don't wish to compare/contrast other EVs now. Its self defeating subject imo.).
Interior Space: Definitely Lucid. 100% Lucid all the way. Frunk. Trunk. Interior pax space.
Exterior Looks: Subjective. But I prefer the Lucid. Still not a big fan of my M60i front. (But it does look menacing since I have the all black color). A draw here for me.
Ride Quality: This is subjective & will also depend on local roads, how you like to drive, etc ... I enjoy both my vehicles. For me this is a draw.
Tech (or others might want to say software!!): Lucid lags in this arena. My M60i holds (stays in the lane, slows down, etc..). Android Auto works seamlessly. Qi charging pad are wide enough to fit my large phone, with a case. I will give this to BMW. Lucid advtd (not anymore) AA was coming soon. They released CP but not AA. HERE Maps has not been updated for over a year, etc .. Lucid lags severely on this front. Could be due to $ crunch. BMW latest OS update is splendid. Love the pull downs, full screen maps,, HUD, etc ... If I can marry BMW tech with Lucid range & drivetrain, that would be my 'ideal' car.
Range: 100% Lucid all the way (no pun intended). I have done PDX to SEA round trip (approx 400 miles), without a stop* (*Charged car near home on the return trip), driving at about 70 to 80mph.
Good luck with your purchase. As I wrote in my 1 year post, if/when a car comes along with a similar range as the Lucid and tech as Tesla/BMW/MB, I will most likely move. I don't trust Lucid to deliver on their promises (software) anymore. Had I known what I know now, I would have not purchased the Lucid then. Again this *is my* opinion only. Other members will have different opinion/experiences and willing to be more patient and forgiving.
And as ever, YMMV. Cheers.