Update ies API calls for DistanceESMDA

[xjules]

Attribute name change:
X_prior -> X

Approach
🚗

(Screenshot of new behavior in GUI if applicable)

• PR title captures the intent of the changes, and is fitting for release notes.
• Added appropriate release note label
• Commit history is consistent and clean, in line with the contribution guidelines.
• Make sure unit tests pass locally after every commit (git rebase -i main --exec 'just rapid-tests')

When applicable

• When there are user facing changes: Updated documentation
• New behavior or changes to existing untested code: Ensured that unit tests are added (See Ground Rules).
• Large PR: Prepare changes in small commits for more convenient review
• Bug fix: Add regression test for the bug
• Bug fix: Add backport label to latest release (format: 'backport release-branch-name')

[codecov-commenter]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 90.63%. Comparing base (0969869) to head (07d9aba).

Additional details and impacted files

@@            Coverage Diff             @@
##             main   #12858      +/-   ##
==========================================
- Coverage   90.64%   90.63%   -0.02%     
==========================================
  Files         440      440              
  Lines       30468    30468              
==========================================
- Hits        27618    27614       -4     
- Misses       2850     2854       +4     

Flag	Coverage Δ
cli-tests	37.23% <100.00%> (ø)
gui-tests	67.89% <0.00%> (+0.02%)	⬆️
performance-and-unit-tests	77.04% <0.00%> (-0.02%)	⬇️
test	37.34% <0.00%> (ø)

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[codspeed-hq]

Merging this PR will not alter performance

✅ 34 untouched benchmarks

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_{Comparing xjules:fix_api_desmda (07d9aba) with main (0969869)}