The present study evaluates the production of new neutron-rich isotopes in the rare-earth region ( \(Z= 61-71\) ) using projectile fragmentation of primary beams at 800 MeV/nucleon at the HIgh-rigidity Radioactive Ion Beam Line (HIRIBL) of the High-Intensity heavy-ion Accelerator Facility (HIAF). The production potential of various projectiles was evaluated through measured and calculated production cross sections, revealing that \(^{198}\) Pt may offer a clear advantage for accessing this region. With an optimized target thickness, fragmentation of \(^{198}\) Pt could lead to the discovery of about 30 new isotopes in the rare-earth region at HIAF, thereby providing a strong opportunity for studies in both nuclear physics and nuclear astrophysics at HIAF.