refactor: 入出力周りのいくつかの処理を`synthesizer`から移動 #3305

Job	Run time
actionlint	17s
shellcheck	19s
rust-lint	3m 27s
validate-cargo-lock	25s
build-and-test-java-api (windows-latest)	7m 35s
build-and-test-java-api (macos-latest)	3m 26s
build-and-test-java-api (ubuntu-latest)	3m 17s
build-and-test-python-api (windows-latest)	9m 44s
build-and-test-python-api (macos-latest)	4m 42s
build-and-test-python-api (ubuntu-latest)	5m 2s
build-unix-cpp-example (macos-latest, osx-x64-cpu-cpp-shared)	1m 37s
build-windows-cpp-example	4m 36s
build-unix-cpp-example (ubuntu-latest, linux-x64-cpu-cpp-shared)	1m 49s
c-header	52s
rust-integration-test-strategy-matrix	1s
rust-unit-test	5m 28s
rust-integration-test (macos-13)	3m 16s
rust-integration-test (ubuntu-20.04)	1m 48s
	57m 41s

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