I’ve only just started on the Guardian crosswords, having previously had experience with a number of Australian newspapers I’ve found them a bit tricky to get it into but this is my first go at a Prize and I think I got there eventually.
4d was difficult because I had the wrong ending on 13a, was OK once I got that fixed.
After that I had two overlapping pairs causing trouble.
For 29a and 19d I resorted to a crossword solver so I could get it out of the way and get on with my life, for 29 my problem was that I got fixated on a word for “break” that turned out to not be involved at all. The solution is a bit obscure for me but I should have remembered my Tolkien, then 19d was OK but took a little while to parse.
That left 1d and 9a. I had long had an answer for 9a but couldn’t parse it and couldn’t find a compatible 1d. The crossword solver gave me a compatible answer for 1d which was a completely new word for me so I had no hope otherwise, but still have no idea how to parse what I’m sure must be the right answer for 9a.