Update the hot state in `ParentWindowOrigin` as well #316

Job	Run time
cargo fmt	14s
cargo clippy + test (windows-latest)	6m 43s
cargo doc (windows-latest)	1m 36s
cargo clippy + test (macos-latest)	2m 32s
cargo doc (macos-latest)	31s
cargo clippy + test (ubuntu-latest)	3m 43s
cargo doc (ubuntu-latest)	37s
	15m 56s

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