Rename coding-agent → cloud-agent: variable keys, paths, URLs, and redirects (#60601)

Co-authored-by: copilot-swe-agent[bot] <198982749+Copilot@users.noreply.github.com>
Co-authored-by: am-stead <102995847+am-stead@users.noreply.github.com>
Co-authored-by: sunbrye <sunbrye@github.com>
Co-authored-by: Copilot <223556219+Copilot@users.noreply.github.com>

Author: 4 people

assets/images/help/copilot/cloud-agent/approve-and-run-workflows.png

@@ -75,7 +75,7 @@ This feed shows activity and recommendations based on your network on {% data va
 
 {% data reusables.dashboard.home-dashboard-public-preview-note %}
 
-The home dashboard view gives you visibility into your {% data variables.copilot.copilot_coding_agent %} sessions and helps you manage your most important tasks more efficiently. You can prompt {% data variables.product.prodname_copilot %} directly from the dashboard, track the latest agent sessions you've triggered, quickly access agent logs to see progress, and manage the resulting pull requests and tasks. This centralized view makes it easier to stay on top of your agent activities and follow up on their outcomes.
+The home dashboard view gives you visibility into your {% data variables.copilot.copilot_cloud_agent %} sessions and helps you manage your most important tasks more efficiently. You can prompt {% data variables.product.prodname_copilot %} directly from the dashboard, track the latest agent sessions you've triggered, quickly access agent logs to see progress, and manage the resulting pull requests and tasks. This centralized view makes it easier to stay on top of your agent activities and follow up on their outcomes.
 
 To view the updated home dashboard, which is currently in {% data variables.release-phases.public_preview %}, you will first need to enable **New Dashboard Experience** with feature preview. For more information, see [AUTOTITLE](/get-started/using-github/exploring-early-access-releases-with-feature-preview#exploring-public-preview-releases-with-feature-preview).
 

assets/images/help/copilot/cloud-agent/assign-to-copilot-dialog.png

@@ -85,8 +85,8 @@ To view the updated home dashboard, which is currently in {% data variables.rele
 
 The home dashboard includes:
 
-* **A {% data variables.product.prodname_copilot %} prompt box**: You can prompt {% data variables.product.prodname_copilot %}, assign {% data variables.copilot.copilot_coding_agent %} to tasks, create an issue with {% data variables.product.prodname_copilot %}, and start building with {% data variables.product.prodname_spark %}.
-* **Agent sessions**: A list of your running and past {% data variables.copilot.copilot_coding_agent %} sessions. Click **View all** to open the agents tab.
+* **A {% data variables.product.prodname_copilot %} prompt box**: You can prompt {% data variables.product.prodname_copilot %}, assign {% data variables.copilot.copilot_cloud_agent %} to tasks, create an issue with {% data variables.product.prodname_copilot %}, and start building with {% data variables.product.prodname_spark %}.
+* **Agent sessions**: A list of your running and past {% data variables.copilot.copilot_cloud_agent %} sessions. Click **View all** to open the agents tab.
 * **Pull requests**: A list of the most recent pull requests that you authored, reviewed, were mentioned on, or where you've been requested as a reviewer.
 * **Issues**: A list of the most recent issues assigned to you or involving you.