Migrate to new `SerializableState` impls #1307

Job	Run time
set-msrv / set-msrv	6s
minimal-versions / minimal-versions	1m 5s
test (stable)	1m 17s
cross (stable, powerpc-unknown-linux-gnu, default)	48s
cross (stable, aarch64-unknown-linux-gnu, default)	13s
build (1.85.0, wasm32-unknown-unknown)	5s
build (stable, wasm32-unknown-unknown)	1s
build (stable, thumbv7em-none-eabi)	28s
cross (1.85.0, powerpc-unknown-linux-gnu, default)	6s
cross (1.85.0, aarch64-unknown-linux-gnu, default)	40s
build (1.85.0, thumbv7em-none-eabi)	29s
test (1.85.0)	1s
	5m 19s

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