Doorbell 2 (battery) hardwired to Byron 776 doesn't ring the chime

I just replaced my incompatible Deta chime with the Byron 776 after seeing it recommended on here. The doorbell correctly shows 'hardwired' in the app, but when pressing the button my chime does not ring as I expected. Strangely, on the first try of this it did actually 'ding', but it hasn't done so since. I was under the impression that the 776 would allow me to keep an in house chime. Is this not the case? If not, could Ring support confirm which chime is fully compatible with the Doorbell 2 and would allow this?