[eas-cli] fix request for switching providers

[szdziedzic]

Why

Companion to https://github.com/expo/third-party/pull/117/files

How

https://github.com/expo/third-party/pull/117/files description

Test Plan

Test locally

[szdziedzic]

• [eas-cli] fix request for switching providers #2769 👈 (View in Graphite)
• main

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[github-actions]

Subscribed to pull request

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

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[github-actions]

Size Change: -18.4 kB (-0.03%)

Total Size: 53.4 MB

Filename	Size	Change
./packages/eas-cli/dist/eas-linux-x64.tar.gz	53.4 MB	-18.4 kB (-0.03%)

_{compressed-size-action}

[github-actions]

✅ Thank you for adding the changelog entry!

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 52.52%. Comparing base (63e3c1f) to head (bb9c17e).
Report is 3 commits behind head on main.

Additional details and impacted files

@@           Coverage Diff           @@
##             main    #2769   +/-   ##
=======================================
  Coverage   52.52%   52.52%           
=======================================
  Files         583      583           
  Lines       22576    22576           
  Branches     4450     4450           
=======================================
  Hits        11855    11855           
  Misses      10686    10686           
  Partials       35       35           

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