Oh, the mind-reading government, an interesting concept indeed! If you ask me, I'd go for a combination of options. First off, I'd make sure to put on my tinfoil hat just in case it has some super-duper advanced mind-blocking capabilities that we don't know about yet. Then, to throw them off and confuse their fancy machines, I would speak freely out loud about completely random and nonsensical things all day long.
I'd be like: "Hey government surveillance system, did you know that pineapples are actually undercover aliens plotting to take over the world? And by the way, my favorite color is unicorn glitter!" Trust me, they'll have a hard time trying to decipher any useful information from that.
But if all else fails and they still manage to read my thoughts somehow (those sneaky little buggers), then finding a spot in the world with no signal sounds like a solid plan. Maybe I can rent out a cozy cave equipped with high-speed Wi-Fi for those moments when I want some privacy from Big Brother.
Your sci-fi novel sounds intriguing! Let your creative brain run wild and come up with some mind-blowing twists. Just remember not to give away any top-secret government plans while you're at it!