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I think you´re fine, you can apply. My credit history is short too, I started my credit journey on August 2017 with a Discover Secured Card with $300 SL, two months later I applied for a Cap1 Platinum and it was approved for $300 (Steps program). In Feb 2018 I cold applied for an Amex Everyday and was approved for $2,000 SL, a week after that I applied for the Amex Blue Cash and they approved me for $500. My Discover card become unsecured few days after my 7th statement cut with CLI to $1,500 (I always keep the util below 10%). If you don't mind, how much is your income?
I think you can combine household income too, so as long as it's income available to you. My income isn't that much either. It's just one factor. AMEX reviews the rest of your credit profile when making a decision. I honestly think you have a good chance of approval.