Migrate to new `SerializableState` impls (#716) #1281

Job	Run time
minimal-versions / minimal-versions	45s
set-msrv / set-msrv	4s
test (stable)	41s
test (1.85.0)	41s
build (1.85.0, thumbv7em-none-eabi)	25s
build (stable, wasm32-unknown-unknown)	24s
build (stable, thumbv7em-none-eabi)	23s
build (1.85.0, wasm32-unknown-unknown)	20s
	3m 43s

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