Today Visual Studio Code started showing me a pop-up saying:
Java 11 or more recent is required to run. Please download and install a recent JDK.
On Fedora 32, I finally got it working by installing java-11-openjdk java-11-openjdk-devel and setting this configuration in vscode:
java-11-openjdk
java-11-openjdk-devel
"java.home": "/usr/lib/jvm/jre-11-openjdk",