Correct size transformer

Installed Ring Video Doorbell Pro, while it worked upon initial installation, it failed after approximately 5 days. My existing 16VAC 10VA transformer appears to be under-powered. I am considering replacing it with a 16V 30VA transformer. However, a couple of details which may complicate my choice of tranformers:
----This transformer will also be used to power a 14 V 5W “address light” on the front of my house, 24X7.
----The wire used to connect my address light and my doorbell is CAT5 wire, I think that is 24 gauge per the internet.
My question at this point: given the address light and the thin gauge wire, will the 16VAC 30VA transformer be sufficient ?
Thanks for any/all comments/suggestions !