Monterey installation hangs at 53 minutes remaining

I've tried installing Monterey several times, and each time, it hangs at "53 minutes remaining." I've tried rebooting, as well as deleting and redownloading the installation software -- it's always the exact same thing. If I hit command-L to look at the logs, nothing is happening (I started running it last night, and left it running overnight just in case, but the log shows no activity in the last 12 hours). This is all on a 2020 MacBook Pro running Big Sur.

Here are the last few lines from the logs:

Dec 16 06:35:31 MacBook-Pro softwareupdated[280]: SoftwareUpdate: request for status for unknown product MSU_UPDATE_20G314_patch_11.6.2

Dec 16 06:35:31 MacBook-Pro SoftwareUpdateNotificationManager[1135]: AssertionMgr: Could not cancel com.apple.softwareupdate.NotifyAgentAssertion-BadgingCountChanged assertion - no assertion found for pid 1135

Dec 16 06:35:31 MacBook-Pro SoftwareUpdateNotificationManager[1135]: SUOSUAuthenticationManager: Disabling local authentication requirement

Dec 16 06:35:31 MacBook-Pro softwareupdated[280]: Adding client SUUpdateServiceClient pid=1135, uid=502, installAuth=NO rights=(), transactions=0 (/System/Library/PrivateFrameworks/SoftwareUpdate.framework/Versions/A/Resources/SoftwareUpdateNotificationManager.app/Contents/MacOS/SoftwareUpdateNotificationManager)

Dec 16 06:35:31 MacBook-Pro softwareupdated[280]: SoftwareUpdate: request for status for unknown product MSU_UPDATE_20G314_patch_11.6.2

Dec 16 06:35:31 MacBook-Pro SoftwareUpdateNotificationManager[1135]: AssertionMgr: Could not cancel com.apple.softwareupdate.NotifyAgentAssertion-BadgingCountChanged assertion - no assertion found for pid 1135

Dec 16 06:35:31 MacBook-Pro SoftwareUpdateNotificationManager[1135]: (null)：softwareupdated: Service connection invalidated!

Dec 16 06:35:31 MacBook-Pro SoftwareUpdateNotificationManager[1135]: (null)：softwareupdated: Service connection invalidated!

Dec 16 06:35:31 MacBook-Pro SoftwareUpdateNotificationManager[1135]: (null)：softwareupdated: Service connection invalidated!

Dec 16 06:35:31 MacBook-Pro softwareupdated[280]: Removing client SUUpdateServiceClient pid=1135, uid=502, installAuth=NO rights=(), transactions=0 (/System/Library/PrivateFrameworks/SoftwareUpdate.framework/Versions/A/Resources/SoftwareUpdateNotificationManager.app/Contents/MacOS/SoftwareUpdateNotificationManager)

Dec 16 06:35:31 MacBook-Pro softwareupdated[280]: Removing client SUUpdateServiceClient pid=1135, uid=502, installAuth=NO rights=(), transactions=0 (/System/Library/PrivateFrameworks/SoftwareUpdate.framework/Versions/A/Resources/SoftwareUpdateNotificationManager.app/Contents/MacOS/SoftwareUpdateNotificationManager)

Dec 16 06:35:31 MacBook-Pro softwareupdated[280]: Removing client SUUpdateServiceClient pid=1135, uid=502, installAuth=NO rights=(), transactions=0 (/System/Library/PrivateFrameworks/SoftwareUpdate.framework/Versions/A/Resources/SoftwareUpdateNotificationManager.app/Contents/MacOS/SoftwareUpdateNotificationManager)

Dec 16 06:37:52 MacBook-Pro osinstallersetupd[21928]: Machine thermal state is now fair

Dec 16 06:38:18 MacBook-Pro osinstallersetupd[21928]: Machine thermal state is now normal

Dec 16 06:38:34 MacBook-Pro osinstallersetupd[21928]: Machine thermal state is now fair