Apply PR #37102: feat(session-ui): add v2 prompt input and timeline c… #2832

Job	Run time
compute-hash (aarch64-darwin, macos-latest)	11m 0s
compute-hash (x86_64-darwin, macos-15-intel)	13m 3s
compute-hash (aarch64-linux, blacksmith-4vcpu-ubuntu-2404-arm)	3m 28s
compute-hash (x86_64-linux, blacksmith-4vcpu-ubuntu-2404)	1m 23s
update-hashes	27s
	29m 21s

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