The Communicate Architecture Fundamentals within Genesys Cloud CX include various components that make up the infrastructure and operational hierarchy, such as Organization, Sites, Edge Groups, and Edges. However, "Gateway" is not a component of this hierarchy. Instead, the term might refer to external devices or services that connect different networks or protocols, which is not how Genesys Cloud CX structures its internal architecture.

Explanation
No, deleting an inactive agent from the queue will not affect the metrics that Alex is monitoring in queue reports in Genesys Cloud CX Performance menu. A queue report is a report that shows various metrics and details related to queue performance and activities in Genesys Cloud CX. A queue report can help you measure and improve various aspects of your queue, such as:
* Service level
* Abandon rate
* Average speed of answer
* Average handle time
* Interaction volume
Deleting an inactive agent from the queue will not affect the metrics that Alex is monitoring in queue reports because:
* A queue report only counts interactions that spent time in the queue, but an agent-based report counts any interactions an agent worked with. This means that the totals in a queue report and an agent-based report may not match exactly, even if they include the same agents or queues. This is because a queue is a stand-alone entity from the perspective of Genesys Cloud CX reports, and queue metrics and agent metrics can differ for various reasons, such as:
* An interaction spends time in multiple queues
* An interaction abandons before an agent handles it
* An agent is a member of more than one queue
* An inactive agent is an agent who has not logged in to Genesys Cloud CX or has logged out. An inactive agent does not affect the metrics in queue reports because they do not contribute to various metrics and details related to queue performance and activities, such as:
* Offered count
* Answered count
* Abandoned count
* Transfer count
References: https://help.mypurecloud.com/articles/reports-overview/
https://help.mypurecloud.com/articles/queue-report-and-agent-report-totals-differ-by-design/
https://help.mypurecloud.com/articles/agent-status-overview/