A cold DM got me a referral after 3 months of applications going nowhere
For anyone convinced you need a network you don't have: I messaged an engineer at a company I liked, mentioned I'd applied, and asked one specific question about their team's stack instead of begging for a referral. We traded two messages and they offered to refer me, unprompted. First interview I'd gotten in months.
It's not magic and it didn't always work. I sent maybe 15 of these and got 3 replies. But 'be genuinely curious about one specific thing' beat every 'I'm passionate and hardworking' cover letter I ever wrote.