Installing old doorbell chime (6 to 10v AC or 3-6v DC) with Ring 16v transformer

I live in a very old house and unfortunately when renovating, the construction crew broke my old doorbell chime. I managed to find a similar chime but I am not sure it will work with my Ring doorbell:

The cabling for the doorbell chime looks like this: https://imgur.com/GdZr6x9

I know the electrician properly wired the Ring using a 16v transformer; however, I am not sure it will be compatible with this doorbell chime.

Thank you!