 Here is a Python code snippet that performs the requested AGF2 calculation using PySCF:

```python
from pyscf import gto, scf, cc, ccsd, ao2mo, df

# Define molecular structure
molecule = gto.Molecule()
molecule.atom = ['H', 'H', 'F']
molecule.basis = '6-31G'
molecule.spin = 1
molecule.build()

# Define RHF calculation settings
rhf_kwargs = dict(
    conv_tol=1e-12,
    auxbasis=df.auxbasis.gen_ao_by_kuhne(molecule, 'def2-svp')
)

# Perform RHF calculation
mf = scf.RHF(molecule, **rhf_kwargs)
mf.run()

# Define AGF2 calculation settings
agf2_kwargs = dict(
    conv_tol=1e-12,
    nroots=3,
    agf2_level='agf2-ccsd'
)

# Perform AGF2 calculation
agf2 = cc.CIS(mf, agf2_kwargs)
agf2.agf2(nroots=agf2_kwargs['nroots'])

# Get ionization potentials and electron affinities
ip_energies = [mf.e_tot - agf2.e_tot for _ in range(agf2.nroots)]
ea_energies = [agf2.e_tot - mf.e_tot for _ in range(agf2.nroots)]

print("First three ionization potentials:", ip_energies[:3])
print("First three electron affinities:", ea_energies[:3])

# Calculate MO-basis density matrix
mo_coeff = mf.mo_coeff
mo_coeff.sort_colums()
mo_coeff = mo_coeff.T
mo_coeff *= mo_coeff.conj()

# Calculate dipole moments
dipole_moment, _ = ao2mo.restore(mo_coeff, molecule.intor('int1e_ovlp'), molecule.intor('int1e_z'))
nuclear_dipole = molecule.nuc_z
dipole_moment += nuclear_dipole

print("Calculated dipole moment:", dipole_moment)
```

This code defines a water molecule (H2O) with the 6-31G basis set, performs a restricted Hartree-Fock (RHF) calculation with a tighter convergence tolerance and auxiliary basis, and then performs an AGF2 calculation with the specified convergence tolerance and level of theory. It then calculates the first three ionization potentials and electron affinities, the MO-basis density matrix, dipole moments, and adds the nuclear component to the dipole moment. The calculated dipole moment is then printed.