Update eslint config and dependencies

[favna]

[!IMPORTANT] Rebase & Merge

[!IMPORTANT] ~~Depends on https://github.com/typescript-eslint/typescript-eslint/issues/8211 being fully resolved. In particular RuleTester from @typescript-eslint/rule-tester currently does not support flat config.~~ RESOLVED

This pull request updates the eslint config and dependencies for this repository.

TODO:

• [x] Updated eslint to version 9 and switched to a flat config system.
• [x] Updated the code to use the new eslint config.
• [x] Update the eslint-plugin-result to ESLint v9
• [ ] Wait for a stable release of typescript-eslint v8 and drop the alpha install
• [ ] Clean up the commits for a clean rebase & merge

[codecov[bot]]

Codecov Report

Attention: Patch coverage is 89.15663% with 45 lines in your changes are missing coverage. Please review.

Project coverage is 57.50%. Comparing base (dda47af) to head (b687c68).

Files	Patch %	Lines
packages/eslint-plugin-result/src/index.ts	0.00%	36 Missing :warning:
...es/eslint-plugin-result/src/configs/recommended.ts	0.00%	9 Missing :warning:

Additional details and impacted files

@@            Coverage Diff             @@
##             main     #732      +/-   ##
==========================================
- Coverage   57.53%   57.50%   -0.03%     
==========================================
  Files         231      231              
  Lines       18334    18385      +51     
  Branches     1296      816     -480     
==========================================
+ Hits        10548    10572      +24     
- Misses       7781     7808      +27     
  Partials        5        5              

Flag	Coverage Δ
18	57.50% <89.15%> (-0.03%)	:arrow_down:
19	57.50% <89.15%> (-0.03%)	:arrow_down:
20	57.50% <89.15%> (-0.03%)	:arrow_down:
21	57.50% <89.15%> (-0.03%)	:arrow_down:

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

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[sonarqubecloud[bot]]

Quality Gate passed

Issues
0 New issues
0 Accepted issues

Measures
0 Security Hotspots
0.0% Coverage on New Code
0.0% Duplication on New Code

See analysis details on SonarCloud

[codecov-commenter]

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Codecov Report

Attention: Patch coverage is 89.15663% with 45 lines in your changes missing coverage. Please review.

Project coverage is 57.50%. Comparing base (dda47af) to head (b687c68). Report is 235 commits behind head on main.

Files with missing lines	Patch %	Lines
packages/eslint-plugin-result/src/index.ts	0.00%	36 Missing :warning:
...es/eslint-plugin-result/src/configs/recommended.ts	0.00%	9 Missing :warning:

:exclamation: Your organization needs to install the Codecov GitHub app to enable full functionality.

Additional details and impacted files

@@            Coverage Diff             @@
##             main     #732      +/-   ##
==========================================
- Coverage   57.53%   57.50%   -0.03%     
==========================================
  Files         231      231              
  Lines       18334    18385      +51     
  Branches     1296      816     -480     
==========================================
+ Hits        10548    10572      +24     
- Misses       7781     7808      +27     
  Partials        5        5              

Flag	Coverage Δ
18	57.50% <89.15%> (-0.03%)	:arrow_down:
19	57.50% <89.15%> (-0.03%)	:arrow_down:
20	57.50% <89.15%> (-0.03%)	:arrow_down:
21	57.50% <89.15%> (-0.03%)	:arrow_down:

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

:umbrella: View full report in Codecov by Sentry.
:loudspeaker: Have feedback on the report? Share it here.

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