Which mode allows users to customize programming options?

Teach mode is designed specifically for users to customize programming options. This mode typically allows users to input their preferences, modify settings, and create configurations that suit their unique needs or scenarios. It often includes a variety of tools and features that facilitate the alteration of parameters related to the operation or behavior of the system being programmed.

In contrast, the other modes have distinct purposes that do not focus on customization. Remote play is primarily used for accessing systems from a distance, and its capabilities are more centered around connectivity rather than personal configuration. Play mode is generally intended for engaging with pre-set programs without modification options, allowing users to experience the system as designed. Diagnostics mode is focused on troubleshooting and identifying issues within the system, providing insight into performance but not enabling users to change how the system operates. Thus, it is clear that Teach mode is uniquely suited for customization tasks, making it the correct choice.