add writeup link to day 22 (#795)

docs/2024/puzzles/day22.md

@@ -12,6 +12,7 @@ https://adventofcode.com/2024/day/22
 - [Solution](https://github.com/Philippus/adventofcode/blob/main/src/main/scala/adventofcode2024/Day22.scala) by [Philippus Baalman](https://github.com/philippus)
 - [Solution](https://github.com/nikiforo/aoc24/blob/main/src/main/scala/io/github/nikiforo/aoc24/D22T2.scala) by [Artem Nikiforov](https://github.com/nikiforo)
 - [Solution](https://github.com/merlinorg/aoc2024/blob/main/src/main/scala/Day22.scala) by [merlinorg](https://github.com/merlinorg)
+- [Writeup](https://thedrawingcoder-gamer.github.io/aoc-writeups/2024/day22.html) by [Bulby](https://github.com/TheDrawingCoder-Gamer)
 
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