Android: SDK Tools not installed

When trying to set up Devices > Android for an existing installation with Android Studio, the dialog gives me errors on

SDK tools installed
Platform SDK installed
All essential packages installed for all installed Qt versions.

At least some of the errors seem to stem from the fact that Qt Creator cannot locate sdkmanager.bat. It expects it in <ANDROIDSDK>/tools/bin/sdkmanager.bat, but Android Studio installs the latest version into <ANDROIDSDK>/cmdline-tools/latest/bin/sdkmanager.bat:

"C:\Program Files\Git\usr\bin\find.exe" C:/Users/kakoehne/AppData/Local/Android -name sdkmanager.bat
C:/Users/kakoehne/AppData/Local/Android/Sdk/cmdline-tools/1.0/bin/sdkmanager.bat
C:/Users/kakoehne/AppData/Local/Android/Sdk/cmdline-tools/latest/bin/sdkmanager.bat