Revert "[eas-cli] Use Git to pack Git projects"

[szdziedzic]

It seems like #2841 caused some undesired side effects #2866

This PR should revert this change

[linear]

ENG-14846 Pack projects with Git in no-commit mode

[linear]

Issue reopened: ENG-14846 Pack projects with Git in no-commit mode

[github-actions]

❌ It looks like a changelog entry is missing for this PR. Add it manually to CHANGELOG.md.
⏩ If this PR doesn't require a changelog entry, such as if it's an internal change that doesn't affect the user experience, you can add the "no changelog" label to the PR.

[github-actions]

Subscribed to pull request

File Patterns	Mentions
**/*	@khamilowicz, @sjchmiela, @radoslawkrzemien

Generated by CodeMention

[github-actions]

Size Change: -4.87 kB (-0.01%)

Total Size: 53.4 MB

Filename	Size	Change
./packages/eas-cli/dist/eas-linux-x64.tar.gz	53.4 MB	-4.87 kB (-0.01%)

_{compressed-size-action}

[codecov]

Codecov Report

Attention: Patch coverage is 23.63636% with 42 lines in your changes missing coverage. Please review.

Project coverage is 52.37%. Comparing base (be9fb59) to head (bf1c404).
Report is 15 commits behind head on main.

Files with missing lines	Patch %	Lines
packages/eas-cli/src/vcs/clients/git.ts	0.00%	16 Missing and 2 partials ⚠️
packages/eas-cli/src/vcs/clients/gitNoCommit.ts	28.00%	18 Missing ⚠️
packages/eas-cli/src/vcs/index.ts	25.00%	2 Missing and 1 partial ⚠️
packages/eas-cli/src/commands/build/internal.ts	66.67%	1 Missing ⚠️
...ackages/eas-cli/src/commands/project/onboarding.ts	0.00%	1 Missing ⚠️
packages/eas-cli/src/commands/submit/internal.ts	66.67%	1 Missing ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #2870      +/-   ##
==========================================
+ Coverage   52.33%   52.37%   +0.04%     
==========================================
  Files         588      589       +1     
  Lines       23136    23135       -1     
  Branches     4848     4845       -3     
==========================================
+ Hits        12106    12114       +8     
+ Misses      10056    10052       -4     
+ Partials      974      969       -5     

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