Automatic message sync not working between iPhone 14 iOS 18.6.2 and Mac macOS Ventura 13.7.8

I used to see my messages on my Mac desktop macOS Ventura 13.7.8 and my iPhone 14 iOS 18.6.2. If the message originates on my iPhone, it no longer syncs automatically on my Mac. I have to go to settings on my Mac and initiate the sync by hand. I have performed all of the steps below. Nothing helps.

Also, when a message is delivered on my Mac, I see a notification message displayed on the top right of my screen, but there is no indication in the Dock there are any unread messages. 

Enable Messages in iCloud (iMessages) 

1. On your Mac:

Open the Messages app, go to Messages > Settings (or Preferences) > iMessage, and make sure your Apple ID is correct. Check the box for Enable Messages in iCloud. 

2. On your iPhone:

Go to Settings > [Your Name] > iCloud > Show All (or "Apps Using iCloud"). Tap on Messages and make sure the toggle for Messages in iCloud is turned on. 

Enable Text Message Forwarding (SMS/MMS messages) 

1. On your iPhone: Go to Settings > Messages. Tap Text Message Forwarding. 
2. Select your Mac: Ensure your Mac is selected in the list. If it's already selected, try deselecting it, restarting your iPhone, and then reselecting it. 

Troubleshooting Steps

• Check your Apple ID: Make sure you are signed in with the same Apple ID on both devices. 
• Check your internet connection: A stable internet connection is crucial for syncing to work. 
• Update your devices: Ensure both your iPhone and Mac are running the latest operating system versions. 
• Manually sync on Mac: In the Messages app on your Mac, you can go to Messages > Settings > iMessage and click Sync Now to force a sync. 
• Sign out and back in: Try signing out of iMessage on both devices, restarting them, and then signing back in.

[Re-Titled by Moderator]