Unfortunately, I was under the impression that Wrike did integrate with Google Team Drive and began a trial of switching my remote video editing team to Wrike and G Suite/Team Drive.
It would have been the perfect solution. Without this integration and with no work around Wrike offers little benefit for teams that actually work together editing the same project files. Very sad. I love the interface.
It would be helpful for your product features to make the distinction that G Suite integrates except for Team Drive.