ssh-agent does not persist over sessions in WSL2 with current openSUSE Linux and other common distributions. Linux native bashrc solutions don’t work here.
Let’s use keychain instead
zypper in keychain
Then let’s add some snippet to .bashrc and remove any eval ssh-agent lines
vim .bashrc
# Once per key to load by default
/usr/bin/keychain -q --nogui $HOME/.ssh/id_rsa
/usr/bin/keychain -q --nogui $HOME/.ssh/id_host_www.ralf-lang.de
# Only once
source $HOME/.keychain/$HOST-sh
Then open a new window. It will ask you to enter your passphrase once. Enter any additional windows, it won’t ask you