Address Cursor, CodeRabbit, and CI feedback on PR #13774 (BOLT-1674)

Slava requested remediation for PR #13774 / BOLT-1674 on branch BOLT-1674/adapters-program. Inspect every Cursor and CodeRabbit review thread plus failed program-adapter and path-filter CI; repair all valid findings directly on Slava-owned branch. Create a dedicated worktree, set required git identity, run mandatory adapters/program lint before each push, commit with Co-authored-by: Slava <[email protected]>, push, watch CI to green, resolve addressed review threads. Do not merge. Initial check: CodeRabbit failed due head change and has no review threads yet; rerun/retrigger after stabilizing branch if needed.