[Discover] Remove the "newExperience" table option in Discover

[angle943]

Description

• This is a followup of deprecate the discover:newExpereince #9511 and we are removing the deprecated parts for 3.0.
• I realized that some parts that I have marked as "deprecated" cannot actually be deprecated, so I have kept them in.

Issues Resolved

• part of [Release 3.0] Planned Breaking Changes for 3.0 in OpenSearch-Dashboards #9253

Changelog

• breaking: Remove the deprecated "newExperience" table option in discover

Check List

• All tests pass
  • yarn test:jest
  • yarn test:jest_integration
• New functionality includes testing.
• New functionality has been documented.
• Update CHANGELOG.md
• Commits are signed per the DCO using --signoff

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 44.84%. Comparing base (29f05d7) to head (28c3f27).

❗ There is a different number of reports uploaded between BASE (29f05d7) and HEAD (28c3f27). Click for more details.

HEAD has 5 uploads less than BASE

Flag	BASE (29f05d7)	HEAD (28c3f27)
Windows_2	1	0
Linux_1	1	0
Windows_4	1	0
Windows_1	1	0
Windows_3	1	0

Additional details and impacted files

@@             Coverage Diff             @@
##             main    #9531       +/-   ##
===========================================
- Coverage   61.82%   44.84%   -16.98%     
===========================================
  Files        3825     2637     -1188     
  Lines       92040    64151    -27889     
  Branches    14598    10461     -4137     
===========================================
- Hits        56902    28769    -28133     
- Misses      31464    33693     +2229     
+ Partials     3674     1689     -1985     

Flag	Coverage Δ
Linux_1	?
Linux_2	56.38% <ø> (ø)
Linux_4	28.91% <ø> (+0.06%)	⬆️
Windows_1	?
Windows_2	?
Windows_3	?
Windows_4	?

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