logproto: remove handshake_in_progress from LogProtoClient #1361

Job	Run time
create-source-tarball	1m 41s
create-packages / debian-bookworm	5m 52s
create-packages / debian-testing	5m 48s
create-packages / fedora-39	6m 8s
create-packages / ubuntu-jammy	7m 20s
	26m 49s

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