Prerequisites

• I have read the Contributing Guidelines.
• I agree to follow the Code of Conduct.
• I have searched for existing issues that already report this problem, without success.

Stencil Version

4.43.2

Current Behavior

The global stylesheet does not get appended to the adoptedStyleSheets property of components during SSR.

Expected Behavior

Adopted stylesheets include the global styles for SSR components.

System Info

System: node 22.14.0
    Platform: darwin (25.3.0)
   CPU Model: Apple M4 Pro (12 cpus)
    Compiler: /Users/*****/Sanity/*****/node_modules/.pnpm/@stencil+core@4.43.2/node_modules/@stencil/core/compiler/stencil.js
       Build: 1772184285
     Stencil: 4.43.2 🌙
  TypeScript: 5.8.3
      Rollup: 4.44.0
      Parse5: 7.2.1
      jQuery: 4.0.0-pre
      Terser: 5.37.0

Steps to Reproduce

Create stencil package with global styles
Create stencil component
Output hydrate package & react package
Install next
Add SSR version of stencil component to page
Observe to global styles not being in the adopted stylesheets list

Code Reproduction URL

N/A

Additional Information

I intend to submit a PR to fix this. The fix does not appear to be specific to this issue.