Here's a text file that I was looking for and found - it should turn off the screen while in tty3:
https://ipfs.desmos.network/ipfs/bafybeicyzthe6p7j3ymo4qfirdmh6akanvahmfzilqvipdr3q5skboc76a/ttyscreen.txt

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> Install Gentoo
Do you use Gentoo? It sounds like more work than Arch Linux.