[eas-cli] Show Organization label and drop "Limited" prefix in new project account picker

[davidmokos]

Why

The account picker shown by eas new (when choosing which account to own a new project) currently labels accounts as:

• (Limited - Personal Account) for your own personal account
• (Limited - Team Account) for accounts owned by another user that you've been added to
• (no label) for Organization accounts

The "Limited" prefix is confusing - it reads as if some restriction applies to the user, when it's really just describing the kind of account. Organizations are also unlabeled, which makes it hard to tell at a glance what kind of account each row represents (especially when an org and a personal account share a similar name).

The result would look something like this:

How

• Drops the Limited - prefix.
• Adds a (Organization) label for Organization-owned accounts (detected via !account.ownerUserActor, matching the existing check in commands/project/init.ts).
• Adds a short comment noting that (Team) is the legacy setup (a user-owned account with extra collaborators) — new multi-user setups use Organizations.
• Collapses the three boolean flags + nested ternary into a single suffix derived directly from ownerUserActor, removing an unreachable fallback branch.

Resulting labels:

• my-personal (Personal) — your own personal account
• some-team (Team) — legacy user-owned account you were added to
• some-org (Organization) — Organization account

Test Plan

• Ran eas new against an account with a mix of personal / team / organization memberships and confirmed each row renders the new label.
• yarn typecheck and yarn lint pass for eas-cli.

[github-actions]

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[codecov]

Codecov Report

❌ Patch coverage is 50.00000% with 3 lines in your changes missing coverage. Please review.
✅ Project coverage is 58.23%. Comparing base (80baa13) to head (6427637).
⚠️ Report is 1 commits behind head on main.

Files with missing lines	Patch %	Lines
packages/eas-cli/src/commandUtils/new/configs.ts	50.00%	3 Missing ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #3829      +/-   ##
==========================================
+ Coverage   58.13%   58.23%   +0.10%     
==========================================
  Files         917      916       -1     
  Lines       39772    39726      -46     
  Branches     8330     8322       -8     
==========================================
+ Hits        23119    23131      +12     
+ Misses      15211    15162      -49     
+ Partials     1442     1433       -9     

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