[Stable-25-2] Make spilling wakeup callback thread safe

[lll-phill-lll]

(cherry picked from commit e6d6306)

Changelog entry

Wakeup callback is called from multiple threads. So, it shouldn't change the inner state of the tasks runner.
fixes #24148
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Changelog category

• Bugfix

Description for reviewers

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[github-actions]

🟢 2025-09-08 10:30:57 UTC The validation of the Pull Request description is successful.

[github-actions]

⚪ 2025-09-08 10:24:58 UTC Pre-commit check linux-x86_64-release-asan for 4f10649 has started.
⚪ 2025-09-08 10:25:15 UTC Artifacts will be uploaded here
⚪ 2025-09-08 10:28:21 UTC ya make is running...
🟡 2025-09-08 11:47:30 UTC Some tests failed, follow the links below. This fail is not in blocking policy yet Going to retry failed tests...

Test history | Ya make output | Test bloat

TESTS	PASSED	ERRORS	FAILED	SKIPPED	MUTED?
14590	14377	0	46	134	33

⚪ 2025-09-08 11:49:05 UTC ya make is running... (failed tests rerun, try 2)
🟡 2025-09-08 12:02:47 UTC Some tests failed, follow the links below. This fail is not in blocking policy yet Going to retry failed tests...

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

TESTS	PASSED	ERRORS	FAILED	SKIPPED	MUTED?
271 (only retried tests)	204	0	7	26	34

⚪ 2025-09-08 12:02:57 UTC ya make is running... (failed tests rerun, try 3)
🟡 2025-09-08 12:16:34 UTC Some tests failed, follow the links below. This fail is not in blocking policy yet

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

TESTS	PASSED	ERRORS	FAILED	SKIPPED	MUTED?
94 (only retried tests)	34	0	4	26	30

🟢 2025-09-08 12:16:42 UTC Build successful.
🟢 2025-09-08 12:17:06 UTC ydbd size 3.8 GiB changed* by -928 Bytes, which is <= 0 Bytes vs stable-25-2: OK

ydbd size dash	stable-25-2: e512b31	merge: 4f10649	diff	diff %
ydbd size	4 045 439 464 Bytes	4 045 438 536 Bytes	-928 Bytes	-0.000%
ydbd stripped size	1 408 437 112 Bytes	1 408 436 280 Bytes	-832 Bytes	-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]

⚪ 2025-09-08 10:26:24 UTC Pre-commit check linux-x86_64-relwithdebinfo for 4f10649 has started.
⚪ 2025-09-08 10:26:38 UTC Artifacts will be uploaded here
⚪ 2025-09-08 10:29:39 UTC ya make is running...
🟡 2025-09-08 11:46:18 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?
35668	33143	0	6	2472	47

⚪ 2025-09-08 11:49:52 UTC ya make is running... (failed tests rerun, try 2)
🟢 2025-09-08 12:05:07 UTC Tests successful.

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

TESTS	PASSED	ERRORS	FAILED	SKIPPED	MUTED?
98 (only retried tests)	53	0	0	2	43

🟢 2025-09-08 12:05:15 UTC Build successful.
🟢 2025-09-08 12:05:33 UTC ydbd size 2.2 GiB changed* by +160 Bytes, which is < 100.0 KiB vs stable-25-2: OK

ydbd size dash	stable-25-2: e512b31	merge: 4f10649	diff	diff %
ydbd size	2 324 669 848 Bytes	2 324 670 008 Bytes	+160 Bytes	+0.000%
ydbd stripped size	487 222 696 Bytes	487 222 696 Bytes	0 Bytes	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}