I'd strongly recommend considering hardware companies in the ML space. They are trying to acquire ML talent but will also value your EE background. This is probably best approached at the usual big ML hardware vendors (NVDA, INTC and AMD) but there are also numerous start ups in the space that may be credible.
Lots of good advice about acquiring skills, I don't have much to add beyond that. I'll just mention that before you jump into the advanced stuff, please understand the terminology and basics very strongly. I've interviewed over twenty people for roles in ML the last year and many (despite having ML on their resume or even some experience in it) could not even explain the difference between training/inference, the meaning of validation, etc. The field is so hot right now that many unqualified folks are trying to get in, often by faking more experience than they really have. In response, I've created a simple 'fizzbuzz' test just so I can quickly screen people.
Lots of good advice about acquiring skills, I don't have much to add beyond that. I'll just mention that before you jump into the advanced stuff, please understand the terminology and basics very strongly. I've interviewed over twenty people for roles in ML the last year and many (despite having ML on their resume or even some experience in it) could not even explain the difference between training/inference, the meaning of validation, etc. The field is so hot right now that many unqualified folks are trying to get in, often by faking more experience than they really have. In response, I've created a simple 'fizzbuzz' test just so I can quickly screen people.