The last part of the link is where I found the info on the time limit. You only have 30 minutes to approve. If you don't it won't show the option. It may be that reinstalling isn't enough to trigger the new timeout.
You could use the spctl command to either manually add those items to the allowed list, or disable it completely.
spctl help
will show you how to use the command. The kext-consent commands need to be run from Recovery.
I don't know the format of the team id which is needed to allow the kexts.