To actually build up the resume and skills of the craft, I would invest and contribute to popular, widely used Open Source projects that have an active community, conferences, mailing lists and the like.
This will take a lot of investment, but having non trivial contributions to core software many companies use is often a better resume tick than an internship or experience at a no name company.
I had multiple well known, non FAANG big tech engineers invite me to come interview after they saw my contributions to some larger Open Source projects.
Then, passing the interview is another story, but there are many paid and unpaid resources to guide you through that process.