Grouping PageReference pages but their parent on the front end

[a-ok]

Apologies if this has been asked before but I'm a little stumped. This also be more of a general-PHP question but was curious if Processwire offered anything to make this more efficient?

I have a PageReference field on a product template and the client can select as many references for the template "products-code-option" as they wish. These are organised in the CMS as products-code-section (parent) then products-code-option (child). See screenshot.

Anyway, my question is I'd like to build an array sorting the pages selected into their parent titles.

$result = array();
foreach ($page->products_codes as $option) {
	$result[$option->parent->name]["title"] = $option->parent->title;
	$result[$option->parent->name][] = $option;
}

bdb($result);

This is what I have so far, which kind of works, but it's not adding the options into a single array but rather their own array for each option (see last screenshot).

Any thoughts where I'm going wrong?

[gebeer]

Have you tried $page->products_codes->sort("parent.title")?