In the FIA rules the four (or more) wheels in alignment for a 'car' is not allowed.
Many car teams running the "Al Teague style" tandem front wheels make sure that they are not on the same centre axis. Thrust SSC with its rear wheels in tandem did not have them fully aligned.
The FIM have allowed various configurations of three wheelers because they have accommodated:
motorbikes & sidecars - two tracks, two wheels in line and the third both offset and not matching the rear wheel axis,
Cyclecars - three tracks, two powered on the same axle axis and one on the central axis. Axle with the two wheels can then be front (think ancient Morgan) or at the rear. (Also known as a 'tricycle' or 'trike').
What about two in line with the third offset but on the same axis as the rear wheel?
and no doubt more can be made of this before you even get to thrust powered (bring on the Budweiser .....).
Just to add more options, Internationaly, close coupled wheels/tyres could be counted in the past as a single wheel. So it may look like four but technically one pair counts as one, so back to a threewheeler.
Does the SCTA/BNI accommodate cyclecars? Have not got a rule book to hand. Saw a ride on trike in pictures.
After getting the wheels right you then have to worry about the 'rider' position ........ next time?
What do you plan to build