About three months ago I applied for a job with Company A, which I was really interested to work for. They did not contact me, and in the meanwhile I got an offer from Company B. I accepted it and started my job and have been there for a month. Today, Company A contacted me to invite me for an interview, but they also asked me for an updated version of my resume.
I understand that it is not professional to leave a job after one month, so I am not sure if it looks OK to mention my new commitment in the updated resume.
Should update my resume and inform them about my current job or not?