Can't build web with latest expo/eas-cli version - API_access_credentials_missing

### Build/Submit details page URL

_No response_

### Summary

After an upgrade to latest EAS/EXPO SDK started to get problems with web deployment on Amplify

### Managed or bare?

Bare

### Environment

expo-env-info 2.0.7 environment info:
System:
OS: macOS 14.7.1
Shell: 5.9 - /bin/zsh
Binaries:
Node: 20.19.4 - ~/.nvm/versions/node/v20.19.4/bin/node
Yarn: 1.22.5 - /usr/local/bin/yarn
npm: 10.8.2 - ~/.nvm/versions/node/v20.19.4/bin/npm
Watchman: 2024.12.02.00 - /usr/local/bin/watchman
Managers:
CocoaPods: 1.16.2 - /usr/local/bin/pod
SDKs:
iOS SDK:
Platforms: DriverKit 24.1, iOS 18.1, macOS 15.1, tvOS 18.1, visionOS 2.1, watchOS 11.1
IDEs:
Android Studio: 2024.2 AI-242.23339.11.2421.12550806
Xcode: 16.1/16B40 - /usr/bin/xcodebuild
npmPackages:
expo: ^54.0.0 => 54.0.7
expo-router: ~6.0.4 => 6.0.4
react: 19.1.0 => 19.1.0
react-dom: 19.1.0 => 19.1.0
react-native: 0.81.4 => 0.81.4
react-native-web: ^0.21.0 => 0.21.1
npmGlobalPackages:
eas-cli: 16.19.2
Expo Workflow: bare

### Error output

2025-09-17T18:26:15.000Z [INFO]: Exported: dist
202
2025-09-17T18:26:15.061Z [WARNING]: /codebuild/output/src1584562272/src/.../node_modules/@expo/cli/build/src/utils/errors.js:130
throw error;
^
UnhandledPromiseRejection: This error originated either by throwing inside of an async function without a catch block, or by rejecting a promise which was not handled with .catch(). The promise rejected with the reason "API_access_credentials_missing".

206
at throwUnhandledRejectionsMode (node:internal/process/promises:389:7)
207
at processPromiseRejections (node:internal/process/promises:470:17)
208
at processTicksAndRejections (node:internal/process/task_queues:96:32) {
209
code: 'ERR_UNHANDLED_REJECTION'
210
}
211
Node.js v20.19.5
212
2025-09-17T18:26:15.096Z [ERROR]: !!! Build failed
213
2025-09-17T18:26:15.096Z [ERROR]: !!! Error: Command failed with exit code 7

### Reproducible demo or steps to reproduce from a blank project

Connect project's github repo to Amplify hosting and try to host Web build

Or

Run just command locally `npx expo export -p web`