[MrNK2107]

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Fixes #11121

Index.data called DataCloud.get_remote(out.remote) once per output, and every call builds a new filesystem and Remote. Each Remote stays referenced from the index storage map, so with an empty local cache data status --not-in-remote ends up with one cloud client per directory output, as measured in the issue.

This change resolves each remote name once per index build (a small dict passed from Index.data to _load_storage_from_out) and shares that Remote between all outputs that use it. Outputs with a different remote: still get their own. DataCloud.get_remote itself is unchanged, so other callers (push/pull/gc with a --remote) behave as before.

I chose local memoisation over caching inside DataCloud.get_remote because get_remote is also used with config overrides and by long-lived Repo objects, where a cache would need invalidation on config changes. Happy to move it there if you prefer.

Test: tests/func/test_repo_index.py::test_data_index_reuses_remote_per_name builds 4 directory outputs, 3 on the default remote and 1 on a second remote, and checks that get_remote is called once per name and that the 3 default-remote outputs share one ODB. It fails without the change (['', '', '', 'second'] == ['', 'second']) and passes with it; test_repo_index.py + test_data_status.py pass locally.

[codecov]

Codecov Report

❌ Patch coverage is 95.65217% with 1 line in your changes missing coverage. Please review.
✅ Project coverage is 90.98%. Comparing base (2431ec6) to head (5d98f77).
⚠️ Report is 213 commits behind head on main.

Files with missing lines	Patch %	Lines
dvc/repo/index.py	87.50%	0 Missing and 1 partial ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             main   #11124      +/-   ##
==========================================
+ Coverage   90.68%   90.98%   +0.29%     
==========================================
  Files         504      505       +1     
  Lines       39795    41158    +1363     
  Branches     3141     3265     +124     
==========================================
+ Hits        36087    37446    +1359     
- Misses       3042     3072      +30     
+ Partials      666      640      -26     

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