In this paper, we suggest using surrogates and acquisition functions suited for mixed-integer spaces. Specifically, we adopt PWAS to address the target mixed-variable problem (1). In this section, we provide a recapitulation of PWAS and its benefits in these problem instances. PWAS is chosen due to its ability to handle both categorical and mixed variables, and to incorporate explicit linear constraints directly, which allows for a more realistic representation of the problem. The key steps of the PWAS are illustrated in Fig. . For a comprehensive description of the algorithm and its numerical properties, the reader is referred to the paper .