Your 4/24 status and fixed APR offer are pretty much as solid as they come. It's not a complete guarantee you'll get the card but you won't have better odds short of waiting and getting your EX score up.
I responded to 2 such offers a handful of days ago. At the time, I was 13/24 and they approved me for the CSP (SL $19.4K) and Slate ($4.4K). These offers are generally solid, and I would assume even moreso for you, since you’re only 4/24.
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