depends on how motivated you are: the fact that you are going to university compared to a bootcamp, you're already at an advantage. since universities have career events. if you go to career events, connect with recruiters or engineers, you're guaranteed an interview spot, so long as you maintain a good educational background for the first few years of employment. Do you know how many CS majors have the same skills if not more than you? Too many to count. The difference is you have friends.
one other note that is completely unrelated, I will mention CS is similar to a lot of other sciences. It's broad in scope until maybe third or fourth year where you actually apply your knowledge to build (for example) an OS. I'm doing my third year in EE, the things I've learned the projects that I've done, brought me to a threshold where if I truly wanted to I could build my own assembly language in system verilog for my basys3 FPGA board.
my point is, by the end of your program, you will see it's all EECE and I will say "it always has been" [insert astronaught meme]. Both are excellent programs, just keep your mind open to options if you think CS is to broad like how physics for me was to broad.
I have several CS majors in my electronics and circuits class because they enjoy working with microcontrollers, IC circuits, and embedded systems over X86 programming. The only things that's stopping them from switching to EECE is their scholarships, which has only been approved for the CS program. With EECE you have an idea of what you want to do instead of just becoming a "software developer" or "web developer". Whether that be the processing of rf signals for telecommunications, or using FPGA's to capture collision events of particles inside a particle accelerator, you have the knowledge and practical experience with said knowledge to apply it to the problem at hand.