I don't know what "using my network" would even mean - just limit myself to a handful of companies (that I know nothing about) and cold-message people that I haven't spoked to in months/years so they can maybe check if there are open positions (which I could have looked up on the company's career page) and then can maybe refer me? Every part of it sounds weird, the whole "find a job through your network" is concept from an ideal world where I actively maintain relationships with many people in great companies that I want to work at. I don't know how many people are in that situation but I'm not one of them.