Explanation:
The recommendation that the BA should make to meet the requirements is to use a standard object for activity capture, screen Flow user interface. This recommendation helps to:

Minimize technical debt: Technical debt is the cost or consequence of choosing a quick or easy solution over a better or more sustainable one. Using a standard object for activity capture helps to minimize technical debt because it leverages the existing functionality and features of Salesforce, reduces the need for custom development or maintenance, and inherits new updates and enhancements from Salesforce releases. Using a screen Flow user interface also helps to minimize technical debt because it allows for creating and modifying screens and logic without writing code, using point-and-click tools such as Flow Builder.

Inherit new features of the Salesforce Platform in future releases: Using a standard object for activity capture helps to inherit new features of the Salesforce Platform in future releases because it enables the use of native Salesforce components and integrations, such as Lightning Experience, Einstein Activity Capture, Lightning Dialer, etc., that can enhance the activity capture process and user experience.

Using a screen Flow user interface also helps to inherit new features of the Salesforce Platform in future releases because it supports the use of Lightning Web Components and other UI elements that can improve the look and feel of the screens and provide more functionality and customization options. The other options are either incorrect or irrelevant.

Option B is incorrect because using a custom Lightning Web Component user interface does not minimize technical debt or inherit new features of the Salesforce Platform in future releases, but rather increases technical debt and maintenance costs, and requires custom development and testing to keep up with Salesforce updates and changes. Option C is incorrect because using a custom object for activity capture does not minimize technical debt or inherit new features of the Salesforce Platform in future releases, but rather increases technical debt and maintenance costs, and limits the use of native Salesforce components and integrations for activity capture.