[Manual backport 2.x]Bump @opensearch-project/opensearch-next from 2.9.0 to 2.13.0 (#8886)

[AMoo-Miki]

cherry-picked commit 473c0ae from #8886

[github-actions]

❌ Invalid Changelog Heading

The '## Changelog' heading in your PR description is either missing or malformed. Please make sure that your PR description includes a '## Changelog' heading with proper spelling, capitalization, spacing, and Markdown syntax.

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 60.88%. Comparing base (cd2faad) to head (8be5659).
Report is 2 commits behind head on 2.x.

Additional details and impacted files

@@            Coverage Diff             @@
##              2.x    #9039      +/-   ##
==========================================
- Coverage   60.88%   60.88%   -0.01%     
==========================================
  Files        3807     3807              
  Lines       91162    91162              
  Branches    14393    14393              
==========================================
- Hits        55505    55503       -2     
- Misses      32130    32131       +1     
- Partials     3527     3528       +1     

Flag	Coverage Δ
Linux_1	29.04% <ø> (ø)
Linux_2	56.52% <ø> (ø)
Linux_3	37.83% <ø> (-0.01%)	⬇️
Linux_4	30.02% <ø> (ø)
Windows_1	29.06% <ø> (ø)
Windows_2	56.48% <ø> (ø)
Windows_3	37.84% <ø> (ø)
Windows_4	30.02% <ø> (ø)

Flags with carried forward coverage won't be shown. Click here to find out more.

☔ View full report in Codecov by Sentry.
📢 Have feedback on the report? Share it here.

[AMoo-Miki]

ci11 is failing due to a cypress permission error which could be related to somehow v13 being used; ignoring that and merging.

[opensearch-trigger-bot]

The backport to 2.17 failed:

The process '/usr/bin/git' failed with exit code 128

To backport manually, run these commands in your terminal:

# Navigate to the root of your repository
cd $(git rev-parse --show-toplevel)
# Fetch latest updates from GitHub
git fetch
# Create a new working tree
git worktree add ../.worktrees/OpenSearch-Dashboards/backport-2.17 2.17
# Navigate to the new working tree
pushd ../.worktrees/OpenSearch-Dashboards/backport-2.17
# Create a new branch
git switch --create backport/backport-9039-to-2.17
# Cherry-pick the merged commit of this pull request and resolve the conflicts
git cherry-pick -x --mainline 1 e66c7c39d229242479cd4ddc9402640e4c032c74
# Push it to GitHub
git push --set-upstream origin backport/backport-9039-to-2.17
# Go back to the original working tree
popd
# Delete the working tree
git worktree remove ../.worktrees/OpenSearch-Dashboards/backport-2.17

Then, create a pull request where the base branch is 2.17 and the compare/head branch is backport/backport-9039-to-2.17.

[AMoo-Miki]

Will try backporting after 9044 is merged.

[opensearch-trigger-bot]

The backport to 2.17 failed:

The process '/usr/bin/git' failed with exit code 128

To backport manually, run these commands in your terminal:

# Navigate to the root of your repository
cd $(git rev-parse --show-toplevel)
# Fetch latest updates from GitHub
git fetch
# Create a new working tree
git worktree add ../.worktrees/OpenSearch-Dashboards/backport-2.17 2.17
# Navigate to the new working tree
pushd ../.worktrees/OpenSearch-Dashboards/backport-2.17
# Create a new branch
git switch --create backport/backport-9039-to-2.17
# Cherry-pick the merged commit of this pull request and resolve the conflicts
git cherry-pick -x --mainline 1 e66c7c39d229242479cd4ddc9402640e4c032c74
# Push it to GitHub
git push --set-upstream origin backport/backport-9039-to-2.17
# Go back to the original working tree
popd
# Delete the working tree
git worktree remove ../.worktrees/OpenSearch-Dashboards/backport-2.17

Then, create a pull request where the base branch is 2.17 and the compare/head branch is backport/backport-9039-to-2.17.

[AMoo-Miki]

manually backported.