Hi @John Driscoll,
Silly as it may seem, there is no simple reorder option in place currently. There's a feature request to add this functionality which you may watch / vote for - JRACLOUD-69088
As a workaround (which is not ideal but certainly doable from the screenshot you shared), you can edit each of the 4 links in your list and update the respective url / descriptions so they end up in the order you would like to see them.
So, suppose you'd like to change the order to Prototypes > Chemicals > Ext. Samples > Demo Site Filtered List, you could delete Demo Site and Ext Samples and add them again in the desired order.
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