refactor: remove API v1 responses exception captures

[jfcalvo]

Description

This PR remove all exception capture blocks for API v1 responses handler.

Refs #4871

Type of change

(Please delete options that are not relevant. Remember to title the PR according to the type of change)

• Bug fix (non-breaking change which fixes an issue)
• New feature (non-breaking change which adds functionality)
• Breaking change (fix or feature that would cause existing functionality to not work as expected)
• Refactor (change restructuring the codebase without changing functionality)
• Improvement (change adding some improvement to an existing functionality)
• Documentation update

How Has This Been Tested

(Please describe the tests that you ran to verify your changes. And ideally, reference tests)

• Improving and passing existent tests.

Checklist

• I added relevant documentation
• follows the style guidelines of this project
• I did a self-review of my code
• I made corresponding changes to the documentation
• My changes generate no new warnings
• I have added tests that prove my fix is effective or that my feature works
• I filled out the contributor form (see text above)
• I have added relevant notes to the CHANGELOG.md file (See https://keepachangelog.com/)

[jfcalvo]

@frascuchon once that everything is refactored I will change these kind of lines to be something like:

Suggested change

	except (UnprocessableEntityError, ValueError) as ex:
	except UnprocessableEntityError as ex:

[frascuchon]

Okay but the raised error shouldn't be UnprocessableEntity?

[jfcalvo]

Yes, it's changed to raise UnprocessableEntityError in another PR: https://github.com/argilla-io/argilla/pull/4912/files#diff-8b6a4a23212d32e0db897e0fd54b482d2246be5f98c24915ce4f93923f14e8d5R107

[codecov]

Codecov Report

Attention: Patch coverage is 91.48936% with 4 lines in your changes are missing coverage. Please review.

Project coverage is 90.97%. Comparing base (e3aa28a) to head (3f65793).

Files	Patch %	Lines
...r/src/argilla_server/validators/response_values.py	85.00%	3 Missing ⚠️
...lla-server/src/argilla_server/contexts/datasets.py	93.33%	1 Missing ⚠️

Additional details and impacted files

@@                            Coverage Diff                             @@
##           refactor/improve-api-v1-error-handling    #4904      +/-   ##
==========================================================================
- Coverage                                   90.97%   90.97%   -0.01%     
==========================================================================
  Files                                         206      206              
  Lines                                       10001    10000       -1     
==========================================================================
- Hits                                         9098     9097       -1     
  Misses                                        903      903              

Flag	Coverage Δ
argilla-server	90.97% <91.48%> (-0.01%)	⬇️

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