A globe with an exclamation point means that your Mac tried to start up from macOS Recovery over the internet, but couldn't. If this is shown with error -1008F, one of these solutions should help.
Start up using Option-Command-R
Turn off your Mac, then turn it on and immediately press and hold Option-Command-R to start up from the latest version of macOS Recovery. Don't use Shift-Option-Command-R in this case, because your Mac will start up from an earlier version of macOS Recovery.
If that doesn't work, turn off Activation Lock as described below.
Or disable Activation lock
Activation Lock is a feature of macOS Catalina 10.15 or later. Follow these steps to disable Activation Lock until after you've finished using macOS Recovery.
- Choose Apple menu > System Preferences.
- Click Apple ID.
- Click iCloud in the sidebar.
- Deselect the Find My Mac checkbox on the right, then enter your Apple ID password when prompted. After finishing what you need to do in macOS Recovery, you can turn this setting back on.
If you can't complete the steps above because your Mac doesn't start up all the way, use one of your other devices to disable Activation Lock:
- Shut down your Mac.
- On another device, go to iCloud.com and sign in with your Apple ID.
- Click Find iPhone.
- Choose your Mac from the list of devices. If you don't see a list of devices, choose your Mac from the devices menu at the top of the page.
- Wait a few seconds until Find My finishes updating the last known location of your Mac.
- Click Remove from Account. If you don't see that option, return to the devices menu at the top of the page, then click the remove button next to the name of your Mac.
- When prompted, confirm the action by clicking Remove.
You should now be able to start up from an earlier version of macOS Recovery without a -1008F error. After finishing what you need to do in macOS Recovery, you can turn Find My Mac back on in Apple ID preferences.