LocalDB: use relevance tracker for tablet TEvPut requests

[snaury]

Changelog entry

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Changelog category

• Not for changelog (changelog entry is not required)

Description for reviewers

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[ydbot]

Run Extra Tests

Run additional tests for this PR. You can customize:

• Test Size: small, medium, large (default: all)
• Test Targets: any directory path (default: ydb/)
• Sanitizers: ASAN, MSAN, TSAN
• Coredumps: enable for debugging (default: off)
• Additional args: custom ya make arguments

[github-actions]

⚪ 2025-12-12 13:54:45 UTC Pre-commit check linux-x86_64-release-asan for e79fd79 has started.
⚪ 2025-12-12 13:55:02 UTC Artifacts will be uploaded here
⚪ 2025-12-12 13:58:07 UTC ya make is running...
⚫ 2025-12-12 14:45:20 UTC Check cancelled

[github-actions]

🟢 2025-12-12 14:51:09 UTC The validation of the Pull Request description is successful.

[github-actions]

⚪ 2025-12-12 13:58:23 UTC Pre-commit check linux-x86_64-relwithdebinfo for e79fd79 has started.
⚪ 2025-12-12 13:58:39 UTC Artifacts will be uploaded here
⚪ 2025-12-12 14:00:46 UTC ya make is running...
⚫ 2025-12-12 14:45:19 UTC Check cancelled

[github-actions]

⚪ 2025-12-12 14:46:06 UTC Pre-commit check linux-x86_64-relwithdebinfo for c2f1109 has started.
⚪ 2025-12-12 14:48:03 UTC Artifacts will be uploaded here
⚪ 2025-12-12 14:50:04 UTC ya make is running...
🟡 2025-12-12 16:59:32 UTC Some tests failed, follow the links below. Going to retry failed tests...

Ya make output | Test bloat

TESTS	PASSED	ERRORS	FAILED	SKIPPED	MUTED?
40905	37971	0	1	2903	30

⚪ 2025-12-12 16:59:45 UTC ya make is running... (failed tests rerun, try 2)
🟢 2025-12-12 17:20:41 UTC Tests successful.

Ya make output | Test bloat | Test bloat

TESTS	PASSED	ERRORS	FAILED	SKIPPED	MUTED?
51 (only retried tests)	31	0	0	0	20

🟢 2025-12-12 17:20:48 UTC Build successful.
🟢 2025-12-12 17:21:11 UTC ydbd size 2.3 GiB changed* by +9.4 KiB, which is < 100.0 KiB vs main: OK

ydbd size dash	main: b318bf4	merge: c2f1109	diff	diff %
ydbd size	2 468 914 008 Bytes	2 468 923 624 Bytes	+9.4 KiB	+0.000%
ydbd stripped size	525 348 768 Bytes	525 350 368 Bytes	+1.6 KiB	+0.000%

^{*please be aware that the difference is based on comparing your commit and the last completed build from the post-commit, check comparation}

[github-actions]

⚪ 2025-12-12 14:48:24 UTC Pre-commit check linux-x86_64-release-asan for c2f1109 has started.
⚪ 2025-12-12 14:48:40 UTC Artifacts will be uploaded here
⚪ 2025-12-12 14:50:49 UTC ya make is running...
🟡 2025-12-12 16:29:54 UTC Some tests failed, follow the links below. This fail is not in blocking policy yet

Ya make output | Test bloat

TESTS	PASSED	ERRORS	FAILED	SKIPPED	MUTED?
12487	12342	0	58	75	12

🟢 2025-12-12 16:30:04 UTC Build successful.
🟢 2025-12-12 16:30:39 UTC ydbd size 3.9 GiB changed* by +28.7 KiB, which is < 100.0 KiB vs main: OK

ydbd size dash	main: b318bf4	merge: c2f1109	diff	diff %
ydbd size	4 134 385 336 Bytes	4 134 414 680 Bytes	+28.7 KiB	+0.001%
ydbd stripped size	1 534 535 640 Bytes	1 534 550 200 Bytes	+14.2 KiB	+0.001%

^{*please be aware that the difference is based on comparing your commit and the last completed build from the post-commit, check comparation}