  The irreversible growth of a magnetic film with spins having two possible
orientations is studied in three-dimensional confined geometries of size
$L\times L\times M$, where $M\gg L$ is the growing direction. A competing
situation with two opposite short range surface magnetic fields $H$ of the same
magnitude is analyzed. Due to the antisymmetric condition considered, an
interface between domains with spins having opposite orientations develops
along the growing direction. Such an interface undergoes a
localization-delocalization transition that is the precursor of a wetting
transition in the thermodynamic limit, in qualitative agreement with
observations performed under equilibrium conditions. However, in contrast to
its equilibrium counterparts, the film also exhibits a growing interface that
undergoes a concave-convex transition in the growth mode. The phase diagram on
the $H$ versus $T$ plane is first obtained for a finite system, and exhibits
eight different regions. Subsequently, the phase diagram corresponding to the
thermodynamic limit is obtained by extrapolation. It is shown that in the
latter only six regions remain. The relevant physical properties of all of
these regions are discussed in detail.
