fix: Remove experiments immediately after deleting by filtering out deleting experiments

[AmanuelAaron]

Ticket

ET-86

Description

Experiments/Searches in "deleting" state appear in tables. This causes confusing behaviour where a deleted experiment gets removed then re-appers in the table until it gets deleted.

Test Plan

With Flat Run Flag On:

1. Go to Searches tab in run table
2. Select one or multiple searches
3. Delete them and confirm that the search is removed

With Flat Run Flag Off:

1. Go to Experiments table
2. Select one or multiple experiments
3. Delete them and confirm that the experiment is removed

Checklist

• Changes have been manually QA'd
• New features have been approved by the corresponding PM
• User-facing API changes have the "User-facing API Change" label
• Release notes have been added as a separate file under docs/release-notes/
  See Release Note for details.
• Licenses have been included for new code which was copied and/or modified from any external code

[netlify]

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[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 53.35%. Comparing base (086de84) to head (2c9f9ca).
Report is 6 commits behind head on main.

Additional details and impacted files

@@           Coverage Diff           @@
##             main    #9688   +/-   ##
=======================================
  Coverage   53.34%   53.35%           
=======================================
  Files        1255     1255           
  Lines      152702   152703    +1     
  Branches     3250     3250           
=======================================
+ Hits        81455    81468   +13     
+ Misses      71095    71083   -12     
  Partials      152      152           

Flag	Coverage Δ
backend	44.79% <100.00%> (+0.02%)	⬆️
harness	72.84% <ø> (ø)
web	51.58% <ø> (ø)

Flags with carried forward coverage won't be shown. Click here to find out more.

Files	Coverage Δ
master/internal/api_experiment.go	56.76% <100.00%> (+0.02%)	⬆️

... and 8 files with indirect coverage changes

[jesse-amano-hpe]

Nicely done, thanks for adding the test!