I believe you make a Backup of your 'old' phone using iTunes (or iCloud), and then
Restore your data from the backup to the 'new' phone.
I have just 2-days ago, used this procedure (iTunes backup) to transfer all my Apps and data, including Lightroom, from an iPhone-6s to an iPhone-SE.
Regards. My System: Lr-Classic 12.1 Photoshop 24.0.1, ACR 15.1, Lightroom 6.1, Lr-iOS 8.0.8, Bridge 13.0.1, Windows-11.