Sorry to say that you can't customize the Service Desk notifications as you can in JIRA. For this we have the following suggestion where I'd advice you to set yourself as a watcher to receive new updates about this.
In additional and in case if you want to create different notifications, please check the Automation rules out as the following documentation:
Are you a whiz at handling tickets and looking at how you can further optimize your workflow with automation? Do you tackle detailed customer support questions while simultaneously getting flooded wi...
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