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I had the same problem but followed Enrique's instructions above and it enabled me to free up enough space to transfer a few files.
I am close to my phone's capacity so I must transfer a few photos, close the app to delete the photos, restart the app and transfer a few more, and repeat.
I keep checking the amount of disk space the app is using and it continues to grow, even after restarting the app (i.e. it isn't cleaning up after itself). I can delete the app and re-install it to clear out the temp files but that isn't a workable solution for the long term.
Please tell me I am doing something wrong or that this is a known bug that will be fixed very soon. Downloading about 20 photos to my MacBook generated about 250 MB of usage in the app, even after the successful transfer finished and I restarting the app.