Extract `AbstractRetryingClient.State` into `RetryContext` and `RetryCounter`#6411

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schiemon wants to merge 16 commits intoline:mainfrom

schiemon:refactor-retrying-pr1-extract-state

Commits on Sep 23, 2025

refactor: make AbstractRetryingClient private
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Commits on Sep 24, 2025

Commits on Sep 26, 2025

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Commits on Oct 9, 2025

Merge branch 'main' into refactor-retrying-pr1-extract-state
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