Correct on one part of your question.
Tax deed sales in FL will clear all existing liens other than governments as long as they are noticed before the sale properly.
Foreclosure sales only clear what is junior to their lien position. So a 2nd position mortgage foreclosing wouldn't clear the 1st mortgage, but a 1st position mortgage foreclosing would clear the other mortgage.
The HOA or condo association foreclosure wouldn't clear either of them when they foreclose. It's a song and dance of liens, and lien positions that you need to learn to make money with these foreclosure auctions.