This mirrors my story almost exactly. Bachelors and masters degree in engineering (not software). Got a job in a large company that had a software team. Essenti

This mirrors my story almost exactly. Bachelors and masters degree in engineering (not software). Got a job in a large company that had a software team. Essentially just moved into that team by helping them with work. Built up my skills both on the job and in my own time for what the job market was asking for. Transitioned to full time pure software eng job in a new company, never looked back since