You can't really know out of the box. If you want another solution that would be to store the previous issue type (its name) on a custom field on each issue.
You create a text field (or a signle select if you want)
You place that field on the view screen of all your issue types
Create an automation (JA or a listener) to copy the value of the issue type name to your new text custom field, whenever that field is changed
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