cleanup: Further `#include` cleanups. #5106

Job	Run time
docker-clusterfuzz	38s
docker-bootstrap-node	1m 22s
docker-esp32	2m 3s
docker-fuzzer	18s
docker-toxcore-js	1m 54s
docker-win32	10s
docker-win64	10s
docker-bootstrap-node-websocket	10s
	6m 45s

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