Sorry to hear you're experiencing this, as I can imagine it has been an inconvenience. I would love to look into this further for you. If you're referring to the Nest Doorbell gen 2 (wired), there should have been a chime connector puck, if you are missing this puck, please fill out this support form, and a higher tier of support will reach out to you with next steps. Thank you for your patience!
We are relieved to hear that you have been in contact with support regarding this. As you will continue the conversation with them, we'll be locking this thread in 24 hours.