refactor(aimdb-sync): remove redundant try-set API

[harunugurlu]

Summary

• remove redundant SyncProducer::try_set, try_set_value, and SyncError::SetTimeout
• keep core TryProduceError for future non-overwriting buffers
• update producer, consumer, error, shutdown, fork, and buffer documentation
• update tests, examples, and changelog for the current sync API

Verification

• cargo fmt --all -- --check
• cargo clippy -p aimdb-sync --all-targets --all-features -- -D warnings
• cargo test -p aimdb-sync --all-features
• cargo test -p aimdb-sync --no-default-features
• RUSTDOCFLAGS="-D warnings" cargo doc -p aimdb-sync --all-features --no-deps

make check completed all preceding checks but failed at the existing codegen-drift step on macOS because of a BSD sed regular-expression compatibility error:

sed: RE error: invalid repetition count(s)
make: *** [codegen-drift] Error 1

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[harunugurlu]

@lxsaah Hey there, sorry for the delay on this one. Things have now calmed down and I will have time to work on the issues regularly. Would appreciate if you could review my work, thanks!