MetaImage allows you to add geographical information directly to image files or sidecar files, embedding location data as EXIF and/or IPTC/XMP information. To ensure Lightroom Classic (LrC) recognizes this data without using sidecar files, embed the location in the EXIF metadata.
Since I don’t personally use LrC, I’m not exactly sure how to do this, but I believe you need to make sure LrC is not relying on or creating sidecar files for location data. You might have to manually tell LrC to read the updated metadata via an option in the interface or menu.