refactor: extract chunk producer logic from Client #9852

Job	Run time
Backward Compatibility	12m 9s
Cargo Nextest (Linux)	10m 34s
Protobuf Backward Compatibility	10s
Cargo Nextest (Linux Nightly)	11m 9s
Cargo Fmt	24s
Themis	39s
Cargo Clippy	8m 30s
Cargo Deny	34s
Rust Doctests	11m 0s
Genesis Changes	9m 43s
Protocol Schema	13m 29s
Database Migration	11m 40s
Style	35s
Sanity Checks	6m 22s
Upgradability	10m 59s
spellcheck	27s
Cargo Audit	27s
Non-default Configuration Builds	1m 15s
Unused Dependencies	6m 56s
Cargo check publishable packages separately (Linux, linux, ubuntu-latest)	9m 23s
Cargo check publishable packages separately (Windows, win, windows-latest)	2m 52s
Generate Coverage Artifact (unit, unit)	2m 35s
Upload Coverage	21s
	2h 12m 13s

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