I couldn’t verify a reliable, up-to-date method for getting the Colonial Hat in FNAF TD 2 from the available information, so I don’t want to guess and mislead you. The closest confirmed FNTD 2 event guidance I found points to OG- event crafting items requiring heavy grinding for specific materials, but it does not clearly document a Colonial Hat method.

What’s confirmed

The FNTD 2 wiki page I found says OG Event crafting items like Beach Balls, Grenades, Cowboy Hats, and Gravestones require grinding 75 of each relevant item, which suggests limited-time event cosmetics are usually tied to event farming rather than a shop purchase. A recent video result also shows players discussing OG event methods for related cosmetics like Cowboy Hats, which supports the idea that the item is likely event-based rather than random.

Practical next step

In-game, check whether the Colonial Hat is listed under an event craft, quest reward, badge reward, or limited-time shop item. If it is tied to the same OG Event system as the other cosmetics, the most likely path is farming the event materials until you can craft or unlock it.

TL;DR

The best verified answer is that the Colonial Hat is probably obtained through an event grind or craft path in FNAF TD 2, but I could not confirm the exact requirement from the available sources.