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That doesn't substitute for a specific answer to your questions, but note that you can find /u/syrak's solution here: https://github.com/Lysxia/advent-of-coq-2021
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It's possible to do all that work still in Coq, so that the extracted code can directly be compiled into an executable. One way is to use the coq-simple-io library, which basically wraps the OCaml standard library (including functions for reading and writing files/stdin/stdout) as Coq axioms. For example, I did extraction that way in a previous iteration of AoC: https://github.com/Lysxia/advent-of-coq-2018/blob/master/sol/day01_1.v
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It's possible to do all that work still in Coq, so that the extracted code can directly be compiled into an executable. One way is to use the coq-simple-io library, which basically wraps the OCaml standard library (including functions for reading and writing files/stdin/stdout) as Coq axioms. For example, I did extraction that way in a previous iteration of AoC: https://github.com/Lysxia/advent-of-coq-2018/blob/master/sol/day01_1.v