broken css url when used "asset" rule type

Link to the code that reproduces this issue

https://codesandbox.io/p/devbox/dark-snow-hcjkjk?workspaceId=ws_NqRDDqBfUUDAADRYf9SdN9&embed=1&file=%2Fnext.config.ts

To Reproduce

1. npm install
2. npm run dev
3. Go to http://localhost:3000
4. enable/disable rule for svg inside next.config.ts to see bug

// app/style.css
.bg{
  // should correct load image
  background: url("./img.svg");
}

Current vs. Expected behavior

Expected behavior

.bg {
  background: url("../media/img.8569dc29.svg");
}

Current behavior

.bg {
  background: url("./img.svg");
}

without rule for svg it works correct

Provide environment information

Operating System:
  Platform: linux
  Arch: x64
  Version: #1 SMP PREEMPT_DYNAMIC Sun Aug  6 20:05:33 UTC 2023
  Available memory (MB): 4102
  Available CPU cores: 2
Binaries:
  Node: 20.12.1
  npm: 10.5.0
  Yarn: 1.22.19
  pnpm: 8.15.6
Relevant Packages:
  next: 16.2.0-canary.35 // Latest available version is detected (16.2.0-canary.35).
  eslint-config-next: N/A
  react: 19.2.4
  react-dom: 19.2.4
  typescript: 5.9.3
Next.js Config:
  output: N/A

Which area(s) are affected? (Select all that apply)

CSS

Which stage(s) are affected? (Select all that apply)

next dev (local)

Additional context

Related PR
https://github.com/vercel/next.js/pull/88788

Start with the CodeSandbox reproduction and inspect next.config.ts, app/style.css, and the SVG asset referenced there. Compare development output with and without the SVG asset rule, then review the related PR for existing context. Done means the CSS URL is rewritten to the emitted hashed asset path when the rule is enabled.