Discuss the implications of soil$-$structure interaction $($SSI$)$ on the design and performance of high$-$rise buildings, particularly in seismic zones. Consider how the flexibility of both the superstructure and the foundation affects the overall dynamic response of the building during an earthquake. Explain the importance of accurate SSI modeling in predicting seismic behavior, and describe the methods commonly used to incorporate SSI effects in structural analysis. Additionally, address how SSI can influence design choices related to foundation types, materials, and construction techniques, and how engineers can mitigate potential adverse effects through innovative design strategies and advanced computational tools.