For every random genetic change that did something that turned out to be useful, there were countless ones that did nothing useful at all or were even counter-productive (to get a sense of how many "tries" there were, consider every time every beetle in the World tries to reproduce times how many eggs they lay times several random genetic changes per egg times millions or billions of years - we're talking grains of sand in a beach level or even more, and this is just for one kind of creature that doesn't even reproduce all that frequently - in things like bacteria there are so many reproducing so many times that we actually see evolution in action in a short time frame, for example with the growth of antibiotic resistance).

Then for all those random genetic changes that did something that turned out useful, there are only going to be some were that make enough of a difference in terms of increasing the survival of a beetle till reproduction and way more that didn't make a difference.

You know what happen to all those quadrillions or whatever of tries that went nowhere? We'll never know about them because the creatures in question are long dead (if their eggs were viable to begin with). We'll only ever know about the random genetic changes which did work well enough to give reproductive advantages.

[There are actually a lot of cognitive falacies around how we perceive success because we only really get to know about what worked, not about the countless things that didn't work. A good example is how most people pretty much only hear about Startups that made it big, yet for every Startup that does succeed enough to become widelly known there are tends or even hundreds of thousands that fail and we never hear about, so it might seem that Startups are generally successful when the reality is, in average, the very opposite]

Continuing on the Evolution story, if the previous part of the process worked based on the Maths of "trully insane large numbers", at this point we add an effect akin to compounding interest: even if a genetic change adds a very small increase in reproduction for an animal - say, a beetle with a given random genetic change that did do something useful and gives it a 1% higher chance of successfully reproduce - as long as that trait gets passed down to the next generation, it means (rought) that all else be the same there will be 101 beetles born with that change for every 100 beetles born without it, for every reproductive cycle. This might seems little but as I said it compounds, so for example after 71 generations that will have grown to 200 for every 100 and it will keep growing.

This is how even a random genetic change that gives even just a tiny increase in success of living till reproduction and reproduction itself will, given enough time, come to dominate a population.

And then all those slightly different beetles keep on having the random genetic changes happen (the first part of the process) and those additional changes that did work and gave a tiny bit more success over that ones with just the original change will get the compounding part of the process, so those are the ones for whom there are more and more individuals, to which in turn the same process applies.

TL;DR (but you should)

A beetle with a random genetic change that affected its shell that makes it every so slightly harder to spot for predators in a place that has lots of water droplets on leaves will have more descendants than the rest. Some of those will randomly get additional changes that make that effect even more successful at making the beetle harder to detect for predators thus having even more descendants than the rest. Amongst those, the ones with random changes that make it even better will have more descendants and so on: changes towards looking more and more like a water-dropplet make the beetles with them more successful at reproducing that those without the changes.

Given enough time and enough beetles this is how you go from beetles with a "normal" carapace to beetles with a mirror-like carapace.

Evolution doens't chose anything, it's just one big statistical N-dimensional field of probabilites with local stable minima (points of maximum success at reproducing) and then some random genetic changes might just happen to matematically nudge a subset of the beetle population towards a specific stable minima on some characteristic (i.e. on one of dimension of those N dimensions) but it could've just as easilly and by chance have been a different one, but that didn't happen so we'll never hear about it (it's a bit like the answer to the "Why has evolution made humans that think?" question - "Because if it didn't made us think we wouldn't be thinking about it, and if it made humans look different that different being would be what we think is "human").

insanely involved with manipulation of wavelengths of light vs just getting bigger or growing more claws or something similarly simple, biologically speaking.

Nature did. That's how speciation works. We're just focusing on the shiny beetles because they grab our attention and the big dung beetles with big horns don't.

Also, as far as evolution is concerned? There's nothing insane about it, they're all equally simple. You're thinking of it from the perspective of industrialisation, and how tough it would be for us to manufacture such materials. That's not the viewpoint evolution cares about, if it can be grown it obviously isn't difficult to do.

How do these processes which use quantum mechanics and wild optical physics become an innate part of nature to begin with.

There are no quantum mechanics involved. And the physics are not wild, they're the basic laws of physics. It's only humans that assign difficulty and exoticness to these mechanisms because our technology base is incapable of reproducing it easily.

Maybe I don't understand the question right but that's just how evolution works. Nature doesn't choose anything, the beetle doesn't choose anything, it just happened to be a successful evolution trait that boosted survivability and you don't see the failed evolutions.

Always remember nature never chooses anything, you just see the successful ones and the failed ones simply die off compared to others with better traits. The small traits add up over years and you have a new species. I am no expert but that's how I understand it.