[eas-cli] Fix VCS client used for submit:internal

[sjchmiela]

Why

Counterpart of #2677, applied to submit:internal.

How

Copied the solution from build:internal.

Test Plan

None.

[github-actions]

Subscribed to pull request

File Patterns	Mentions
**/*	@szdziedzic, @khamilowicz

Generated by CodeMention

[github-actions]

⏩ The changelog entry check has been skipped since the "no changelog" label is present.

[github-actions]

Size Change: -13 B (0%)

Total Size: 52.9 MB

Filename	Size	Change
./packages/eas-cli/dist/eas-linux-x64.tar.gz	52.9 MB	-13 B (0%)

_{compressed-size-action}

[codecov]

Codecov Report

Attention: Patch coverage is 50.00000% with 1 line in your changes missing coverage. Please review.

Project coverage is 52.94%. Comparing base (fdb167d) to head (c8896b7).
Report is 1 commits behind head on main.

Files with missing lines	Patch %	Lines
packages/eas-cli/src/commands/submit/internal.ts	50.00%	1 Missing ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #2682      +/-   ##
==========================================
- Coverage   52.94%   52.94%   -0.00%     
==========================================
  Files         576      576              
  Lines       22103    22105       +2     
  Branches     4336     4337       +1     
==========================================
+ Hits        11700    11701       +1     
- Misses      10369    10370       +1     
  Partials       34       34              

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