Fix BSC reporting for Bridge mode

[alexvru]

Changelog entry

Fix BSC reporting for Bridge mode

Changelog category

• Not for changelog (changelog entry is not required)

Description for reviewers

This patch fixes some interaction issues between BSC and its clients. Also fixes some BSC bugs related to Bridge mode.

[github-actions]

⚪ 2025-07-14 14:02:41 UTC Pre-commit check linux-x86_64-relwithdebinfo for 6d429eb has started.
⚪ 2025-07-14 14:02:56 UTC Artifacts will be uploaded here
⚪ 2025-07-14 14:06:09 UTC ya make is running...
🟡 2025-07-14 15:20:37 UTC Some tests failed, follow the links below. Going to retry failed tests...

Test history | Ya make output | Test bloat

TESTS	PASSED	ERRORS	FAILED	SKIPPED	MUTED?
29956	28407	0	146	1356	47

⚪ 2025-07-14 15:23:29 UTC ya make is running... (failed tests rerun, try 2)
🟡 2025-07-14 15:47:47 UTC Some tests failed, follow the links below. Going to retry failed tests...

Test history | Ya make output | Test bloat | Test bloat

TESTS	PASSED	ERRORS	FAILED	SKIPPED	MUTED?
597 (only retried tests)	420	0	139	0	38

⚪ 2025-07-14 15:48:01 UTC ya make is running... (failed tests rerun, try 3)
🔴 2025-07-14 16:11:36 UTC Some tests failed, follow the links below.

Test history | Ya make output | Test bloat | Test bloat | Test bloat

TESTS	PASSED	ERRORS	FAILED	SKIPPED	MUTED?
481 (only retried tests)	303	0	139	2	37

🟢 2025-07-14 16:11:45 UTC Build successful.

[github-actions]

⚪ 2025-07-14 14:02:41 UTC Pre-commit check linux-x86_64-release-asan for 6d429eb has started.
⚪ 2025-07-14 14:02:55 UTC Artifacts will be uploaded here
⚪ 2025-07-14 14:06:09 UTC ya make is running...
🟡 2025-07-14 15:59:01 UTC Some tests failed, follow the links below. This fail is not in blocking policy yet

Test history | Ya make output | Test bloat

TESTS	PASSED	ERRORS	FAILED	SKIPPED	MUTED?
14557	14027	0	299	204	27

🟢 2025-07-14 16:00:22 UTC Build successful.

[github-actions]

🟢 2025-07-14 14:06:35 UTC The validation of the Pull Request description is successful.

[github-actions]

⚪ 2025-07-14 17:34:55 UTC Pre-commit check linux-x86_64-relwithdebinfo for ddf6f53 has started.
⚪ 2025-07-14 17:35:25 UTC Artifacts will be uploaded here
⚪ 2025-07-14 17:39:10 UTC ya make is running...
🟢 2025-07-14 18:55:05 UTC Tests successful.

Test history | Ya make output | Test bloat

TESTS	PASSED	ERRORS	FAILED	SKIPPED	MUTED?
29956	28544	0	0	1360	52

🟢 2025-07-14 18:57:40 UTC Build successful.

[github-actions]

⚪ 2025-07-14 17:41:21 UTC Pre-commit check linux-x86_64-release-asan for ddf6f53 has started.
⚪ 2025-07-14 17:41:52 UTC Artifacts will be uploaded here
⚪ 2025-07-14 17:45:39 UTC ya make is running...
🟡 2025-07-14 19:40:37 UTC Some tests failed, follow the links below. This fail is not in blocking policy yet

Test history | Ya make output | Test bloat

TESTS	PASSED	ERRORS	FAILED	SKIPPED	MUTED?
14553	14002	0	327	196	28

🟢 2025-07-14 19:41:57 UTC Build successful.

[mregrock]

LGTM