fix: fix SourceInspector works behind proxy on subpath

[lhilgert9]

🎯 Changes

• Fixes SourceInspector not working when served behind a proxy #248.
• SourceInspector now uses the BASE_URL to send fetch calls to the server so that it works correctly when the app is deployed to a subpath.

✅ Checklist

• I have followed the steps in the Contributing guide.
• I have tested this code locally with pnpm test:pr.

🚀 Release Impact

• This change affects published code, and I have generated a changeset.
• This change is docs/CI/dev-only (no release).

[changeset-bot]

🦋 Changeset detected

Latest commit: 8562c35

The changes in this PR will be included in the next version bump.

This PR includes changesets to release 3 packages

Name	Type
@tanstack/devtools	Patch
@tanstack/react-devtools	Patch
@tanstack/solid-devtools	Patch

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[nx-cloud]

View your CI Pipeline Execution ↗ for commit 8562c35

Command	Status	Duration	Result
nx affected --targets=test:format,test:eslint,t...	✅ Succeeded	46s	View ↗
nx run-many --targets=build --exclude=examples/**	✅ Succeeded	8s	View ↗

---

☁️ Nx Cloud last updated this comment at 2025-10-30 15:48:25 UTC

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commit: 8562c35

[lhilgert9]

@AlemTuzlak What about this one?