BUG: `using AMDGPU` hangs indefinitely during precompilation on Windows on main branch

Questionnaire

1. Does ROCm works for you outside of Julia, e.g. C/C++/Python?: Yes

2. Post output of rocminfo.

N/A (AMD ROCm on Windows does not provide the `rocminfo` utility).

3. Post output of AMDGPU.versioninfo() if possible.

# This is printed in v2.8.0
┌───────────┬──────────────────┬───────────┬───────────────────────────────────────────
│ Available │ Name             │ Version   │ Path                                     ⋯
├───────────┼──────────────────┼───────────┼───────────────────────────────────────────
│     +     │ LLD              │ -         │ C:\\Program Files\\AMD\\ROCm\\7.2\\bin\\ ⋯
│     +     │ Device Libraries │ -         │ C:\\Users\\MASKED\\.julia\\artif ⋯
│     +     │ HIP              │ 7.2.60201 │ C:\\Program Files\\AMD\\ROCm\\7.2\\bin\\ ⋯
│     +     │ rocBLAS          │ 5.2.0     │ C:\\Program Files\\AMD\\ROCm\\7.2\\bin\\ ⋯
│     +     │ rocSOLVER        │ 3.32.0    │ C:\\Program Files\\AMD\\ROCm\\7.2\\bin\\ ⋯
│     +     │ rocSPARSE        │ 4.2.0     │ C:\\Program Files\\AMD\\ROCm\\7.2\\bin\\ ⋯
│     +     │ rocRAND          │ 4.2.0     │ C:\\Program Files\\AMD\\ROCm\\7.2\\bin\\ ⋯
│     +     │ rocFFT           │ 1.0.36    │ C:\\Program Files\\AMD\\ROCm\\7.2\\bin\\ ⋯
│     -     │ hipTENSOR        │ -         │ -                                        ⋯
│     -     │ MIOpen           │ -         │ -                                        ⋯
└───────────┴──────────────────┴───────────┴───────────────────────────────────────────
                                                                       1 column omitted

AMDGPU devices
┌────┬────────────────────────┬──────────┬───────────┬────────────┬───────────────┐
│ Id │                   Name │ GCN arch │ Wavefront │     Memory │ Shared Memory │
├────┼────────────────────────┼──────────┼───────────┼────────────┼───────────────┤
│  1 │ AMD Radeon RX 7900 XTX │  gfx1100 │        32 │ 23.984 GiB │    64.000 KiB │
└────┴────────────────────────┴──────────┴───────────┴────────────┴───────────────┘```

Reproducing the bug

1. Describe what's not working.

On Windows (Windows 11, Julia 1.13.0, ROCm 7.2), using AMDGPU (or Pkg.precompile()) on the main branch hangs indefinitely during precompilation and never finishes.

• On release v2.8.0 and on main branch just before the problematic commit (commit b3e831ef): Precompilation successfully completes.
• On main branch (commit 63c6c404): Precompilation hangs indefinitely with a frozen background Julia worker process:

(@v1.13) pkg> up
    Updating registry at `C:\Users\MASKED\.julia\registries\General.toml`
 Installed StaticArrays ─ v1.9.22
   Project No packages added to or removed from `C:\Users\MASKED\.julia\environments\v1.13\Project.toml`
  Updating `C:\Users\MASKED\.julia\environments\v1.13\Manifest.toml`
⌃ [61eb1bfa] ↑ GPUCompiler v2.6.0 ⇒ v2.7.0
  [90137ffa] ↑ StaticArrays v1.9.21 ⇒ v1.9.22
  [cc5c0156] ↑ AMDGPU_LLVM_Backend_jll v22.1.8+2 ⇒ v23.1.1+1
⌃ [f52de702] + LLVMDowngrader_jll v0.10.0+1
  [873c0968] - ROCmDeviceLibs_jll v7.0.2+0
        Info Packages marked with ⌃ have new versions available and may be upgradable.
Precompiling packages  ──────────────╸─────────  11/12
  ◐ AMDGPU

I could not find the root cause.

2. Provide MWE to reproduce it (if possible).

]precompile AMDGPU

Reproduce the hang on Windows with Julia 1.13.0 and ROCm 7.2 using ]precompile AMDGPU, then compare behavior between commits b3e831ef and 63c6c404. Trace the AMDGPU precompilation path and the package changes between those commits; done means AMDGPU precompilation completes instead of leaving a frozen worker process.