No FTR terminals for Power Kit installation

I’m interested in connecting my Ring Video Doorbell Pro to my existing chime, which is a vintage Selectronic musical doorbell. The F-T-R wires are soldered to the circuit board inside the chime housing, there are no screw terminals to connect the Ring Power Kit. Instead, wire nuts are used to connect the F-T-R wires from chime to the transformer and doorbell wires. Can I simply connect the Power Kit at the F-T wire nuts or should I use a different approach to connect the Power Kit?