You can add a shortcut to the Deep Clone Bulk Clone dialog within your Jira projects.

Jira project > Add shortcut > Shortcut

Use the following link for your shortcut to open a new window that shows the Bulk Clone dialog.

https://YOURCOMPANY.atlassian.net/plugins/servlet/ac/com.codefortynine.deep-clone-for-jira/manage-presets-menu?ac.showBulkCloneDialog=true

The shortcut opens a new browser window and unfortunately we do not have any influence on this. You can vote and watch this ticket to see if Atlassian is making any progress on this. https://jira.atlassian.com/browse/JRACLOUD-75619