Just some stuff about me.
Some apps require being installed via Play store.
Download the APK via Aurora Store, in settings disable automatically deleting after installation. Go to downloads screen, hold on it, click save bundle. In adb shell (maybe root):
pm list users
# check which user is work profile -- you want the number
mv /path/to/saved/bundle/apk /data/local/tmp
pm install --user N -i com.android.vending /path/to/apk
For split APK, see here: https://raccoon.onyxbits.de/blog/install-split-apk-adb/