This paper investigates the consistency of the Weak Gravity Conjecture (WGC) and Weak Cosmic Censorship Conjecture (WCCC) in the thermodynamics of conformal field theory (CFT) and restricted phase space (RPS) for AdS Reissner-Nordström black holes with perfect fluid dark matter (RN-PFDM). The WGC ensures gravity is the weakest force, while the WCCC prevents naked singularities. The study analyzes the thermodynamics of RN-PFDM black holes in RPS and CFT, revealing a swallowtail pattern in free energy, indicative of a first-order phase transition. The WGC is validated in different phase spaces, with the range of compatibility being larger in CFT than in EPST and RPST. The WCCC is confirmed at the critical point, where $ f(M_c, Q_c, r_c) = 0 $. The results show that both WGC and WCCC hold under specific conditions, demonstrating their robustness in the critical range of black hole parameters. The paper concludes that the WGC is supported at the critical point of black holes, and the WCCC is also maintained, highlighting the consistency of these conjectures in the context of charged black holes with PFDM.This paper investigates the consistency of the Weak Gravity Conjecture (WGC) and Weak Cosmic Censorship Conjecture (WCCC) in the thermodynamics of conformal field theory (CFT) and restricted phase space (RPS) for AdS Reissner-Nordström black holes with perfect fluid dark matter (RN-PFDM). The WGC ensures gravity is the weakest force, while the WCCC prevents naked singularities. The study analyzes the thermodynamics of RN-PFDM black holes in RPS and CFT, revealing a swallowtail pattern in free energy, indicative of a first-order phase transition. The WGC is validated in different phase spaces, with the range of compatibility being larger in CFT than in EPST and RPST. The WCCC is confirmed at the critical point, where $ f(M_c, Q_c, r_c) = 0 $. The results show that both WGC and WCCC hold under specific conditions, demonstrating their robustness in the critical range of black hole parameters. The paper concludes that the WGC is supported at the critical point of black holes, and the WCCC is also maintained, highlighting the consistency of these conjectures in the context of charged black holes with PFDM.