In designing a deep foundation system for a high$-$rise building, various factors come into play, particularly concerning soil$-$structure interaction. Discuss the fundamental principles governing the selection and design of deep foundations, emphasizing the critical role of soil mechanics. Consider the influence of soil properties such as shear strength, consolidation characteristics, and settlement behavior on foundation design. Furthermore, explore the significance of site$-$specific conditions, including soil stratigraphy, groundwater table, and seismicity, in determining the most suitable deep foundation type. Delve into the engineering considerations for different deep foundation options, such as driven piles, drilled shafts, and caissons, highlighting their respective advantages and limitations$.$ Additionally, address the challenges associated with construction techniques and methods for deep foundations in varying soil conditions, and propose strategies to mitigate potential risks and optimize performance.