[Backport 2.x] Adjusted source of QueryStringManager functions for flyout.

[opensearch-trigger-bot[bot]]

Backport 5740259f54e6dbe5fa2199cbf3b141f5c7cd4da8 from #8864.

[github-actions[bot]]

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[codecov[bot]]

Codecov Report

Attention: Patch coverage is 47.05882% with 9 lines in your changes missing coverage. Please review.

Project coverage is 60.99%. Comparing base (07063ff) to head (325794d). Report is 1 commits behind head on 2.x.

Files with missing lines	Patch %	Lines
...ui/saved_query_flyouts/open_saved_query_flyout.tsx	47.05%	7 Missing and 2 partials :warning:

Additional details and impacted files

```diff @@ Coverage Diff @@ ## 2.x #8887 +/- ## ======================================= Coverage 60.98% 60.99% ======================================= Files 3799 3799 Lines 90856 90859 +3 Branches 14306 14306 ======================================= + Hits 55411 55415 +4 Misses 31930 31930 + Partials 3515 3514 -1 ``` | [Flag](https://app.codecov.io/gh/opensearch-project/OpenSearch-Dashboards/pull/8887/flags?src=pr&el=flags&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=opensearch-project) | Coverage Δ | | |---|---|---| | [Linux_1](https://app.codecov.io/gh/opensearch-project/OpenSearch-Dashboards/pull/8887/flags?src=pr&el=flag&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=opensearch-project) | `29.03% <ø> (ø)` | | | [Linux_2](https://app.codecov.io/gh/opensearch-project/OpenSearch-Dashboards/pull/8887/flags?src=pr&el=flag&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=opensearch-project) | `56.53% <ø> (ø)` | | | [Linux_3](https://app.codecov.io/gh/opensearch-project/OpenSearch-Dashboards/pull/8887/flags?src=pr&el=flag&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=opensearch-project) | `37.88% <47.05%> (+<0.01%)` | :arrow_up: | | [Linux_4](https://app.codecov.io/gh/opensearch-project/OpenSearch-Dashboards/pull/8887/flags?src=pr&el=flag&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=opensearch-project) | `30.00% <ø> (ø)` | | | [Windows_1](https://app.codecov.io/gh/opensearch-project/OpenSearch-Dashboards/pull/8887/flags?src=pr&el=flag&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=opensearch-project) | `29.05% <ø> (ø)` | | | [Windows_2](https://app.codecov.io/gh/opensearch-project/OpenSearch-Dashboards/pull/8887/flags?src=pr&el=flag&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=opensearch-project) | `56.48% <ø> (ø)` | | | [Windows_3](https://app.codecov.io/gh/opensearch-project/OpenSearch-Dashboards/pull/8887/flags?src=pr&el=flag&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=opensearch-project) | `37.88% <47.05%> (+<0.01%)` | :arrow_up: | | [Windows_4](https://app.codecov.io/gh/opensearch-project/OpenSearch-Dashboards/pull/8887/flags?src=pr&el=flag&utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=opensearch-project) | `30.00% <ø> (ø)` | | Flags with carried forward coverage won't be shown. [Click here](https://docs.codecov.io/docs/carryforward-flags?utm_medium=referral&utm_source=github&utm_content=comment&utm_campaign=pr+comments&utm_term=opensearch-project#carryforward-flags-in-the-pull-request-comment) to find out more.

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