Merge relevant Bridge commits from main

[alexvru]

• Count remaining bytes while syncing data (Count remaining bytes while syncing data #23497)
• Fix RestartCounter issue (Fix RestartCounter issue #23633)
• Refactor assimilation reverse iterating in VDisk (Refactor assimilation reverse iterating in VDisk #23664)
• Refactor Bridge Syncer inflight management code (Refactor Bridge Syncer inflight management code #23683)
• Fix DS proxy batching problem

[github-actions]

⚪ 2025-08-28 11:54:26 UTC Pre-commit check linux-x86_64-relwithdebinfo for 5e1479b has started.
⚪ 2025-08-28 11:54:58 UTC Artifacts will be uploaded here
⚪ 2025-08-28 11:59:39 UTC ya make is running...
🟡 2025-08-28 14:06:23 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?
39656	36896	0	3	2718	39

⚪ 2025-08-28 14:10:00 UTC ya make is running... (failed tests rerun, try 2)
🟡 2025-08-28 14:25:21 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?
569 (only retried tests)	539	0	2	1	27

⚪ 2025-08-28 14:25:33 UTC ya make is running... (failed tests rerun, try 3)
🔴 2025-08-28 14:38:22 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?
227 (only retried tests)	203	0	2	0	22

🟢 2025-08-28 14:38:29 UTC Build successful.

[github-actions]

⚪ 2025-08-28 11:55:36 UTC Pre-commit check linux-x86_64-release-asan for 5e1479b has started.
⚪ 2025-08-28 11:55:51 UTC Artifacts will be uploaded here
⚪ 2025-08-28 11:59:34 UTC ya make is running...
🟡 2025-08-28 14:34:14 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?
16991	16543	0	110	302	36

🟢 2025-08-28 14:35:44 UTC Build successful.

[github-actions]

⚪ 2025-08-28 14:55:52 UTC Pre-commit check linux-x86_64-release-asan for 60f9623 has started.
⚪ 2025-08-28 14:56:18 UTC Artifacts will be uploaded here
⚪ 2025-08-28 15:00:54 UTC ya make is running...
🟡 2025-08-28 17:05:16 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?
16991	16513	0	146	303	29

🟢 2025-08-28 17:06:51 UTC Build successful.

[github-actions]

⚪ 2025-08-28 14:56:45 UTC Pre-commit check linux-x86_64-relwithdebinfo for 60f9623 has started.
⚪ 2025-08-28 14:57:00 UTC Artifacts will be uploaded here
⚪ 2025-08-28 15:00:48 UTC ya make is running...
🟡 2025-08-28 16:26:12 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?
39656	36894	0	5	2713	44

⚪ 2025-08-28 16:29:41 UTC ya make is running... (failed tests rerun, try 2)
🟢 2025-08-28 16:44:14 UTC Tests successful.

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

TESTS	PASSED	ERRORS	FAILED	SKIPPED	MUTED?
449 (only retried tests)	423	0	0	1	25

🟢 2025-08-28 16:44:23 UTC Build successful.