Based on this searchable combobox project by Anton Kutishevsky This is a Salesforce LWC ComboBox control that gives you the ability to search through a picklist value set, which is useful when the list is long and/or contains the desired value in a different position:
Article in using this control in a Flow here: https://andrewwhitten.medium.com/searching-salesforce-picklist-values-in-a-flow-93262b7e7c4d
Attribution: The LWC code was adapted from this StackOverflow post by Anton Kutishevsky. I made some changes to use a Global Picklist and added Flow usage metadata.