Putting your head in the sand and ignoring it all isn't a good strategy either. Like it or not, AI will be a part of the rest of your career in some quantity. Not just because we collectively decide that we want to use these tools, but because tools that undeniably provide a huge productivity boost when used correctly are something the economy cannot ignore.
My advice would be to avoid feeling compelled to try every new tool immediately, but at least try to stay aware of major developments. A career in software engineering also dooms you to life-long learning in a very fast changing environment. This is no different. Agents are tools that work quite differently from what we're used to, and need cognitive effort and learning to wield effectively.
Waking up one day to realise you're now expected to work naturally in tandem with an AI agent but lack the experience is not a far-fetched scenario.
Like with most technological change I think there is no need for FOMO. You run into problems if you completely ignore already established and proven tools and practices for years to come but you don't have to jump onto every "this changes everything, trust me bro" hype.