[tests] Stabilizing Public UI Tests

[vrubezhny]

- Updated Kind:
  - kind v0.31.0 go1.25.5 linux/amd64
  - Client Version: v1.35.0

- Tune up for Code Coverage v6.0.0

- Public UI Tests targeted:
  - Project test
  - Create Component test
  - Component Context Menu test
  - Operator Backed Service test

- Log files included into the artifacts to be uploaded

[codecov]

Codecov Report

❌ Patch coverage is 0% with 10 lines in your changes missing coverage. Please review.
✅ Project coverage is 44.51%. Comparing base (da60441) to head (14b524a).
⚠️ Report is 1672 commits behind head on main.

Files with missing lines	Patch %	Lines
src/explorer.ts	0.00%	10 Missing ⚠️

Additional details and impacted files

@@             Coverage Diff             @@
##             main    #5739       +/-   ##
===========================================
+ Coverage   32.37%   44.51%   +12.13%     
===========================================
  Files          85      100       +15     
  Lines        6505     8851     +2346     
  Branches     1349     1944      +595     
===========================================
+ Hits         2106     3940     +1834     
- Misses       4399     4911      +512     

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