When reassembling the speaker bracket, stick the flat end of a spudger on the right side while screwing it down so it doesn’t fall out the side and to maintain its alignment.
What I found to work best is to use a pair of angled tweezers, scrape off part of the adhesive so you can grab onto it, and pull up vertically instead of horizontally. It will come off as one long piece which is much more efficient compared to horizontally where the glue may snap off in smaller pieces.