Background check concern

I’m completely comfortable with a background check being ran. No convictions or anything else I would have previously thought to be a red flag.

However…

I’m a 20y/o college student and I have had three long term job in the past. Unfortnately, this summer I went to get a job and was hired at one place for a month before resigning due to terrible management. Obviously I left this off my resume and didn’t bring it up. Secondly, a week ago I accepted a position at a different job and completed one day of training before being offered the current job out of the blue.

Should I be concerned? Will this even show? Thanks!

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