checkpoint storage: use more query parameters and settings (backport #13755)

[yumkam]

(cherry picked from commit 5c07270)

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[github-actions]

⚪ 2025-01-29 12:01:27 UTC Pre-commit check linux-x86_64-release-asan for 87bbc72 has started.
⚪ 2025-01-29 12:01:41 UTC Artifacts will be uploaded here
⚪ 2025-01-29 12:04:47 UTC ya make is running...
🟡 2025-01-29 13:10:03 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?
12993	12918	0	22	7	46

🟢 2025-01-29 13:11:27 UTC Build successful.

[github-actions]

⚪ 2025-01-29 12:04:08 UTC Pre-commit check linux-x86_64-relwithdebinfo for 87bbc72 has started.
⚪ 2025-01-29 12:04:26 UTC Artifacts will be uploaded here
⚪ 2025-01-29 12:07:29 UTC ya make is running...
🟡 2025-01-29 14:09:08 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?
30163	27331	0	1	2719	112

⚪ 2025-01-29 14:13:53 UTC ya make is running... (failed tests rerun, try 2)
🟢 2025-01-29 14:25:31 UTC Tests successful.

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

TESTS	PASSED	ERRORS	FAILED	SKIPPED	MUTED?
688 (only retried tests)	581	0	0	0	107

🟢 2025-01-29 14:25:48 UTC Build successful.