All right. In the end I'll say that Allemano's guess, a Buick (but 1926-27) is even with mine (1927-28 Packard).
Let's get picky (paying no attention to what's behind the firewall and has been modified.
I proposed a Packard because they had an unmistakable hood shape. Seen from the front you have a rounded bulge in the center, then on both sides a flat part, maybe two inches wide. That flat part accounts for the protruding shape that you see on pictures taken from this angle.
Packard 1, Buick 0
Packard also had very commonly disc wheels with the same 6 bolts setup and an hexagonal red center.
Packard 2, Buick 0
But I realized that Buicks had an approaching hood shape, with a less wider flat part, before 1929 (Cadillacs never had that).
Packards were much more common with sidemounts, but some Buicks had them too.
Buicks almost never sported disc wheels, but they were optional. And they were less concave than the Packard's, as it seems to be in the puzzle car. They came with our without a red center, depending on images.
Packard 2, Buick 1
Last but not least, you often saw on these Buicks that protective plate below the door sill than you see on the puzzle car. I didn't see it on Packards.
Packard 2, Buick 2
And a point for Allemano.