A public key signcryption with equality test (PKSCET) scheme is a public key signcryption (PKSC) scheme with the property of equality test. However, all the existing PKSCET schemes are vulnerable to a new kind of security threats, called side-channel attacks, which could potentially lead to the unauthorized disclosure of sensitive information or even the compromise of secret keys, undermining the overall confidentiality and integrity of the system. Therefore, this study aims to propose the first leakage-resilient PKSCET (LR-PKSCET) scheme that achieves resistance to side-channel attacks. Moreover, the proposed LR-PKSCET scheme is demonstrated to possess four security properties, namely, leakage resilience, indistinguishability, one-wayness, and existential unforgeability. Based on the proposed LR-PKSCET scheme, an anti-scam system (application) is presented to mitigate the ongoing occurrence of a myriad of scam cases.