This is not a question, but rather an answer to confirm that you can connect the Apple A1016 wireless keyboard.

Please follow the steps below:

1.) open Terminal and Copy & Paste the next Steps in the Terminal

2.) /bin/bash -c "$(curl -fsSL https://raw.githubusercontent.com/Homebrew/install/HEAD/install.sh)"

3.) brew install blueutil

4.) blueutil --pair [Mac adress] 0000

5.) Then (after 5-10 seconds), I typed 0000 on the numbers above the alphabetical keyboard, and pressed 'Return' (also on the main keyboard). I tried 0000 and 'Enter' on the numeric keypad first and that did not work. That got me paired, then I still had to go into the bluetooth settings in the GUI and select the keyboard and 'Connect'.

Source: macos - Impossible to pair Apple Wireless Keyboard M9270LL/A after update to Monterey 12.0.1 - Ask Different (stackexchange.com)