Projects with this package fail to build for Windows

Description

Projects with the react-native-screens package fail to build for windows:

fatal error LNK1104: cannot open file 'C:\Users<username>.nuget\packages\microsoft.windowsappsdk\1.7.250401001\buildTransitive\native....\lib\win10-\Microsoft.WindowsAppRuntime.Bootstrap.lib' [RNWinRepro\node_modules\react-native-windows\Microsoft.ReactNative\Microsoft.ReactNative.vcxproj]. Check your build configuration.

Steps to reproduce

Run the following scripts to create a new project with this package:

npx --yes @react-native-community/cli@latest init RNWinRepro --version 0.81.2
cd RNWinRepro 
yarn add react-native-windows@0.81.2
yarn add @react-native-async-storage/async-storage
npx react-native init-windows --overwrite
npx react-native run-windows

Snack or a link to a repository

See minimal repro

Screens version

4.20.0

React Native version

0.81.2

Platforms

Windows

JavaScript runtime

None

Workflow

None

Architecture

None

Build type

None

Device

None

Device model

No response

Acknowledgements

Yes

Start with the listed Windows reproduction commands and the linker error in Microsoft.ReactNative.vcxproj. Investigate how react-native-screens 4.20.0 and react-native-windows 0.81.2 resolve the Microsoft.WindowsAppSDK library path. Done means the minimal project builds and runs for Windows without LNK1104.