Error: "Cannot find module 'vue'" after updating to 3.8.0 or up

[jashaj]

Describe the bug

I have a library project with vite, vite-plugin-dts, vue and pinia. The project has one Vue template, but that is for testing only and doesn't need to be exported. The library will be used in other Vue projects.
It worked fine with vite-plugin-dts until 3.7.3, but since 3.8.0 the build throws TypeScript errors:

src/lib/counter.ts:1:31 - error TS2792: Cannot find module 'vue'. Did you mean to set the 'moduleResolution' option to 'nodenext', or to add aliases to the 'paths' option?

1 import { ref, computed } from 'vue'
                                ~~~~~
src/lib/counter.ts:2:29 - error TS2792: Cannot find module 'pinia'. Did you mean to set the 'moduleResolution' option to 'nodenext', or to add aliases to the 'paths' option?

2 import { defineStore } from 'pinia'
                              ~~~~~~~

✓ 2 modules transformed.

Reproduction

https://github.com/jashaj/vue-dts-module-error

Steps to reproduce

1. Clone the repo from https://github.com/jashaj/vue-dts-module-error
2. Run npm ci
3. Run npm run build

System Info

System:
    OS: macOS 14.5
    CPU: (12) arm64 Apple M2 Max
    Memory: 2.18 GB / 32.00 GB
    Shell: 5.9 - /bin/zsh
  Binaries:
    Node: 20.15.1 - ~/.nvm/versions/node/v20.15.1/bin/node
    Yarn: 1.22.22 - /opt/homebrew/bin/yarn
    npm: 10.7.0 - ~/.nvm/versions/node/v20.15.1/bin/npm
    pnpm: 9.5.0 - /opt/homebrew/bin/pnpm
  Browsers:
    Brave Browser: 126.1.67.123
    Edge: 126.0.2592.87
    Safari: 17.5
  npmPackages:
    @vitejs/plugin-vue: ^5.0.5 => 5.0.5 
    vite: ^5.3.3 => 5.3.3 
    vite-plugin-dts: ^3.9.1 => 3.9.1

Validations

• Read the FAQ.
• Check that there isn't already an issue that reports the same bug to avoid creating a duplicate.
• The provided reproduction is a minimal reproducible example of the bug.

[qmhc]

You can refer to this FAQ.