Commercial clean vehicle credit - 7.5K for Businesses - possible if registered and title with BOTH business name and personal name?

[enl25]

My wife runs a business full time through a single member LLC.  It involves a lot of driving so she wants to get an EV. She is planning on buying a tesla but they are saying that she can only register and title with BOTH the business name and personal name.  Would she still be eligible for the Commercial clean vehicle credit (https://www.irs.gov/credits-deductions/commercial-clean-vehicle-credit) under this scenario? 

Also given the LLC doesn't have the longest credit history getting a loan may mean she needs to co-sign for financing with both LLC name and her personal name.  Would that cause any issues? 

Finally our state, Colorado, has $5K EV credit (https://tax.colorado.gov/sites/tax/files/documents/ITT_Innovative_Motor_Vehicle_Credit_Jun_2023.pdf), under the scenario of buying with BOTH the business name and personal name and getting the 7.5K clean commercial vehicle credit would she still be eligible to get the CO 5K ev credit? 

Appreciate the input on this!

Thank you

[tagteam]

Note that a single-member LLC (presumably without an election to be treated as a corporation via Form 2553 or 8832) is a disregarded entity for federal income tax purposes.