Thanks for the link! I wasn't aware of some of these workarounds.
Your link is very helpful, but also notes some of the limitations. Namely, this doesn't work if the software has been purged due to not being updated recently, and it doesn't really work to find new-to-me software (that I haven't purchased previously).
Even if it's technically possible to reinstall software that I've previously purchased, it is very limited in its ability to install new-to-me software.
https://appleinsider.com/inside/ios/tips/how-to-get-apps-for...