ROHF fails with "number of atomic orbitals must equal number of molecular orbitals" when basis set is linearly dependent

[awoodwa]

For open-shell systems (spin_multiplicity > 1) with scf_type="restricted", the SCF solver dispatches to ROHF. The native ROHF builder requires n_atomic_orbitals == n_molecular_orbitals. When a basis set is linearly dependent on a given geometry, the solver drops basis functions so n_MO < n_AO, and ROHF fails:
RuntimeError: ROHF build requires number of atomic orbitals to equal number of molecular orbitals!

To Reproduce
Execute the following:

from qdk_chemistry.algorithms import create
from qdk_chemistry.data import Structure

XYZ = """13
o-benzosemiquinone
O    3.7321    1.3450    0.0000
O    2.0000    0.3450    0.0000
C    3.7321    0.3450    0.0000
C    2.8660   -0.1550    0.0000
C    4.5981   -0.1550    0.0000
C    2.8660   -1.1550    0.0000
C    4.5981   -1.1550    0.0000
C    3.7321   -1.6550    0.0000
H    5.1350    0.1550    0.0000
H    2.3291   -1.4650    0.0000
H    5.1350   -1.4650    0.0000
H    3.7321   -2.2750    0.0000
H    4.2690    1.6550    0.0000
"""

structure = Structure.from_xyz(XYZ)

solver = create("scf_solver")
solver.settings().set("scf_type", "restricted")   # -> ROHF for multiplicity > 1
solver.settings().set("enable_gdm", False)
energy, wfn = solver.run(structure, 0, 2, "def2-tzvp")   # raises RuntimeError

Output is as follows:

  File "<stdin>", line 1, in <module>
    energy, wfn = solver.run(structure, 0, 2, "def2-tzvp")   # raises RuntimeError
                  ~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "/usr/local/lib/python3.13/site-packages/qdk_chemistry/algorithms/registry.py", line 91, in run
    return self._algo.run(*args, **kwargs)
           ~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^
RuntimeError: ROHF build requires number of atomic orbitals to equal number of molecular orbitals!

Expected behavior
ROHF should handle n_MO < n_AO the same way RHF/UHF do (operate in the reduced MO space after linear-dependency removal), rather than asserting n_AO == n_MO.

System:

• OS: Linux 6.17.0-1011-azure (Linux-6.17.0-1011-azure-x86_64-with-glibc2.38)
• System: x86_64
• Code Version (qdk_chemistry): 2.0.0+local
• Python: 3.13.1