[Backport 2.x] [VisBuilder] Adds UIState to vis, adds index patterns to embeddable, bug fixes

[opensearch-trigger-bot]

Backport ee32d20 from #3751.

[codecov-commenter]

Codecov Report

Merging #3874 (d850c8e) into 2.x (eb0a315) will decrease coverage by 0.04%.
The diff coverage is 27.27%.

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@@            Coverage Diff             @@
##              2.x    #3874      +/-   ##
==========================================
- Coverage   66.47%   66.44%   -0.04%     
==========================================
  Files        3226     3227       +1     
  Lines       61975    62014      +39     
  Branches     9583     9588       +5     
==========================================
+ Hits        41199    41205       +6     
- Misses      18479    18510      +31     
- Partials     2297     2299       +2     

Flag	Coverage Δ
Linux	66.38% <27.27%> (-0.04%)	⬇️
Windows	66.39% <27.27%> (-0.03%)	⬇️

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

Impacted Files	Coverage Δ
...lder/common/vis_builder_saved_object_attributes.ts	100.00% <ø> (ø)
...uilder/public/application/components/right_nav.tsx	12.50% <ø> (ø)
...uilder/public/application/components/workspace.tsx	5.26% <0.00%> (-1.19%)	⬇️
...plication/utils/state_management/metadata_slice.ts	61.53% <ø> (ø)
...cation/utils/state_management/redux_persistence.ts	80.00% <ø> (ø)
...public/application/utils/state_management/store.ts	18.75% <ø> (ø)
...application/utils/use/use_saved_vis_builder_vis.ts	2.77% <0.00%> (-0.26%)	⬇️
...ilder/public/embeddable/vis_builder_embeddable.tsx	0.91% <0.00%> (-0.11%)	⬇️
...blic/embeddable/vis_builder_embeddable_factory.tsx	8.69% <0.00%> (-2.42%)	⬇️
..._builder/public/saved_visualizations/_saved_vis.ts	0.00% <ø> (ø)
... and 4 more

... and 4 files with indirect coverage changes

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