I hear you. I am frustrated with distractions more than the next person. I am the person who has received on performance reviews, on multiple occasions, this exact phrase on more than one occasion: "becomes noticeably upset when distracted"
I don't know if this is necessarily "dealing with it" root cause wise, but the stoic approach is what is helping me. I cant' change other people. I can't make other people have consideration for my me or others. I can only control what I can control: how I react, and what I can do to limit the distractions and noise.
Most of that building frustration comes usually comes from myself telling myself things with the word "should" in it, like "it shouldn't be so hard to focus at work", "they should know that distracting an engineer is basically like lighting money on fire", "they should be more considerate", or "I shouldn't have to wear earplugs and headphones to be able to concentrate" etc etc. I dropped all the "shoulds" and just focus on what I can do.
It's not a solution, but it's helping me at least get a little more work done.
I find quotes of the stoics of old especially helpful, especially Marcus Aurelius,
"Choose not to be harmed — and you won’t feel harmed. Don’t feel harmed — and you haven’t been." -- in my case "choose not to be distracted, and you won't be"