Fix web_Release build_onnxruntime_web failure by correcting browser test bundle resolution

[Copilot]

Description

This PR addresses the failing web_Release / build_onnxruntime_web GitHub Actions job by fixing how the web browser test run resolves and loads the generated ORT web bundle in CI.
The failure was caused by a mismatch between expected test entry/bundle inputs and the artifact path/format used by the Karma invocation in the release workflow.

• CI web test path alignment
  • Updated web test/build wiring so Karma consumes the correct generated bundle artifact for release validation.
• Release bundle format consistency
  • Ensured the browser test entry and bundle format expectations are consistent with the release output used in build_onnxruntime_web.
• Minimal scope
  • Limited to the web release test/build integration path tied to the failing job.

Example of the failing invocation path this change targets:

npx karma start --single-run --browsers Chrome_default \
  --ort-main=ort.bundle.min.mjs \
  --test-main=./browser-test-wasm.js \
  --format=iife

Motivation and Context

web_Release / build_onnxruntime_web was failing in GitHub Actions due to incorrect bundle resolution/compatibility during browser test execution.
This change aligns the release test inputs with the actual produced artifact so the CI job validates the intended web release output.

[azure-pipelines]

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