Software interviewing has become necessarily (though unfortunately) adversarial for two major reasons; a lot of people are lying on their resume, a lot of engineers have inflated self-worth. If you're competent... don't worry, you will break through. But keep in mind, experience in this trade has a lot of value - and companies can only absorb so many people with 0 experience at any given moment in time.

That said, should you change your track from pure EE?

My personal experience in hiring has been that people with pure CS bachelors/masters are usually a worse fit for highly technical roles than those with another STEM degree. I think this is because it is harder to teach yourself electrical engineering than entry level software development.

A average candidate knows how to program. A good candidate knows has deep domain knowledge in something. A great candidate has deep domain knowledge and can turn that into code.