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These commands work from bigmac2's install disk

Helpful pages:

If you get a personalization error when reinstalling macOS on your Mac https://support.apple.com/en-us/HT211983

Mr. Macintosh Full Installer Base Big Sur https://mrmacintosh.com/macos-big-sur-full-installer-database-download-directly-from-apple/

11.2.3

http://swcdn.apple.com/content/downloads/12/32/071-14766-A_Q2H6ELXGVG/zx8saim8tei7fezrmvu4vuab80m0e8a5ll/InstallAssistant.pkg

11.3

http://swcdn.apple.com/content/downloads/40/42/071-29172-A_50FL5BT4I6/5w0xm8c31yigcf2iov4n4mlsvnw1upzo2q/InstallAssistant.pkg

11.3.1

http://swcdn.apple.com/content/downloads/16/05/071-32414-A_33YH16R8HF/28ment5qr993c0l9i1qbh4fuknli9wzglp/InstallAssistant.pkg

11.4

http://swcdn.apple.com/content/downloads/55/59/071-00696-A_4T69TQR1VO/9psvjmwyjlucyg708cqjeaiylrvb0xph94/InstallAssistant.pkg

Downgrade commands for Big Sur from Base System / Recovery OS

i='Install macOS Big Sur.app'

s='SharedSupport'

d='http://swcdn.apple.com/content/downloads/12/32/071-14766-A_Q2H6ELXGVG/zx8saim8tei7fezrmvu4vuab80m0e8a5ll/InstallAssistant.pkg'

cd /Volumes

ls -a //get disk list

cd 'nameOfBlankDisk' //This disk must exist and should be blank can be anything Untitled, macOS

mkdir -p private/tmp

cp -R /$i private/tmp

cd private/tmp/$i

mkdir Contents/$s

curl -L -o Contents/$s/$s.dmg $d

./Contents/MacOS/InstallAssistant_springboard