Could Bridge solve my challenge?

I"m a Windows 10 user and I have Photoshop Elements 2018. My wife is a Mac user, and doesn't yet have any Adobe products. We already have external hard drives, and a cloud back up service which we share.

I understand that Photoshop Elements will not allow more than one user to access its database / catalog. I'm trying to find a solution that would allow us to both work on our photos, store them on a common folder structure, with common tags. If my wife bought Photoshop Elements for Mac, would Bridge help us do this? If not is there ANY (affordable for individuals!) Adobe product that will let us achieve this? Since other products (e.g. Google Photos) don't have either a folder structure, nor a way of tagging, I'm sure those wouldn't be a solution.

If Bridge and/or Adobe won't work, does any ready know of a product that might work?

Thanks