Is it too risky to work (and file taxes later on) as both an freelancer/contractor AND employee?!

I'm in the process of applying to jobs right now and I established my own single-member LLC/separate business bank account/ EIN number mainly for liability protection and have only been applying to jobs for contractor roles, but lately I've been seeing some job opportunities that I qualify for but is specifically designated for employees My main concern is the potential complications of being both a freelancer/contractor and employee. So if my employer asks for my personal SSN and I work the same time as a part-time freelancer/contractor and file my own taxes under my business EIN, is that going to accelerate the risk of being audited or complicate the process of filing my own taxes later on?

 

I hope my question makes sense; I'm entirely new to working remotely as a freelancer/contractor so any advice or insight is greatly appreciated. At this point, I'm just grateful to get called back for an interview and get hired. So when I'm on the lookout for jobs, I'm not sure if I should mainly be focusing on contractor jobs or if I can look into job opportunities that are specifically for those who want to work as employees. I took a chance and invested a lot into building the foundation of my small business so I wanted to reach out and make a final decision on how I should navigate job searches. Thank you so much!