Accessories not discovered on HomeKit
### Is there an existing issue for this?

- [X] I have searched the existing issues

### Describe The Bug

I have a ring camera and it does not appear in HomeKit.

### To Reproduce

_No response_

### Expected behavior

I expected the accessories to appear in HomeKit.

### Relevant log output

```shell
[11/16/2024, 10:28:54 PM] [homebridge-ring] Request to https://api.ring.com/clients_api/doorbots/51121029/ failed with status 422. Response body: 
[11/16/2024, 10:28:54 PM] [homebridge-ring] Error: 
    at responseToError (/opt/homebrew/lib/node_modules/homebridge-ring/node_modules/ring-client-api/lib/rest-client.js:38:19)
    at requestWithRetry (/opt/homebrew/lib/node_modules/homebridge-ring/node_modules/ring-client-api/lib/rest-client.js:82:33)
    at processTicksAndRejections (node:internal/process/task_queues:95:5)
    at RingRestClient.request (/opt/homebrew/lib/node_modules/homebridge-ring/node_modules/ring-client-api/lib/rest-client.js:344:20)
    at RingCamera.setSettings (/opt/homebrew/lib/node_modules/homebridge-ring/node_modules/ring-client-api/lib/ring-camera.js:217:9)
    at RingCamera.setInHomeDoorbell (/opt/homebrew/lib/node_modules/homebridge-ring/node_modules/ring-client-api/lib/ring-camera.js:244:9) {
  response: {
    headers: Headers {
      date: 'Sun, 17 Nov 2024 03:28:54 GMT',
      'content-type': 'application/json',
      'content-length': '0',
      connection: 'keep-alive',
      'referrer-policy': 'strict-origin-when-cross-origin',
      'strict-transport-security': 'max-age=10886400; includeSubDomains; preload',
      vary: 'Origin',
      'x-content-type-options': 'nosniff',
      'x-download-options': 'noopen',
      'x-frame-options': 'SAMEORIGIN',
      'x-permitted-cross-domain-policies': 'none',
      'x-request-id': '9f3bb1a7d091940c6021347872a104cb',
      'x-runtime': '0.032283',
      'x-xss-protection': '1; mode=block',
      'server-version': 'ee015afd33ffc18e11ca88ea12ebd7c52988b7cd',
      'server-region': 'us-east-1',
      server: 'api.ring.com api-sreqs.ring.com',
      'x-upstream-resp': '422'
    },
    status: 422,
    body: ''
  }
}
```


### Screenshots

_No response_

### Homebridge Ring Config

```shell
{
    "refreshToken": "REMOVED_BECAUSE_SENSITIVE",
    "unbridgeCameras": true,
    "_bridge": {
        "username": "0E:9E:2B:AE:1E:DE",
        "port": 33931
    },
    "platform": "Ring"
}
```


### Additional context

_No response_

### OS

macOS

### Node.js Version

v20.18.0

### NPM Version

v10.8.2

### Homebridge/HOOBs Version

v1.8.5

### Homebridge Ring Plugin Version

v13.1.0

### Operating System

macOS