Hi there! I see you're encountering a message about having an internet connection problem when trying to open My Talking Pet on your Mac running OS X 10.15.7. Let's get to the bottom of this together.

First, could you tell me:
- Are other apps or websites working fine on your Mac without any internet issues?
- Are you connected via Wi-Fi or Ethernet?
- Have you tried restarting your Mac or your internet router already?

Meanwhile, here are some simple steps you can try:

1. Restart Your Device and Router: Sometimes a quick reboot of your Mac and your Wi-Fi router helps clear any temporary network glitches.

2. Check Your Network Connection:
- Click on the Wi-Fi icon on the top-right of your screen.
- Make sure you are connected to your home or trusted network.
- You can also run a quick check by opening Safari and visiting a website to confirm internet access.

3. Disable and Re-enable Wi-Fi:
- Turn off Wi-Fi, wait 10 seconds, then turn it back on.

4. Confirm My Talking Pet Has Network Access:
- Sometimes firewall settings can block an app’s internet access. On your Mac:
- Go to System Preferences > Security & Privacy > Firewall.
- If the firewall is on, click Firewall Options and ensure My Talking Pet is allowed incoming connections.

If these basic checks don't solve it, we can try resetting your Mac’s network settings more deeply or verify if there are server issues on the app side.

Are you able to try these steps and let me know what happens? That will help me guide you with more tailored solutions!