Let the tool migrate images and vidoes into, say "c:\myobs\production" and have it create a new json. All links will be updated and now be pointing there.
Rename the newly created json into , say, 'prod01".
Now manually copy "c:\myobs\production" to the new pc, install OBS on the new PC and then copy prod01.json from the old to the new OBS's scene collection folder and voila.