I am not the brightest calcudoku solver, so I need some direction with the newest Newsletter puzzle.

I was able to determine that 19 and 31 must be two of the ten options, those were basically handed to us for free using cage 589* in Column 8. Now that I have 8, 14, 19, 22, and 31, I am a little stumped about my next steps. My thoughts so far:
- The 6x cage and the 8x cage tell me that one of these combinations of numbers must be present:
- 1,6 (6=1*6, 8=1*8)
- 1,2,3 (6=2*3, 8=1*8)
- 2,3,4 (6=2*3, 8=2*4)
- 1,2,4,6 (6=1*6, 8=2*4)
- 1,2,3,4,6 are not possible all at once because then the 57+ cage won't be possible
- In Column 2, the two cages that stood out to me were 23- and 25-. This implies that there must be at least one more number >24 available. I assumed 26 might be that number based on the 57+ cage in Row 3, but it hasn't led me anywhere productive.
- There is a lot of difference cages that (possibly) provide some crucial information that I might not be seeing:
1-, 2-, 4-, 5-, 6-, 7-, 12-, 14-, 16-, 17-, 23-, 25-.
I have a feeling I can deduce the remaining 5 numbers using those cages, but I'm not quite sure how yet. - Trying out different number combinations, cages 3/ and 20+ in Row 1 are where I mostly encountered some issues. If I somehow managed to make both of those cages true, then I would get stuck with 16+ in Column 5 or 21+ in Column 8.
I would appreciate any pointers, but no direct answers please if possible. Thank you!