" LocalCDN is a web browser extension that emulates Content Delivery Networks to improve your online privacy. It intercepts traffic, finds supported resources locally, and injects them into the environment. All of this happens automatically, so no prior configuration is required."
Probably conflicts with a) how Brave Browser is constructed and b) what Brave Browser does.
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Brave Browser Development
About Chromium - somewhere online, a few years ago, I found:
“Intrinsically, Chromium is a Google project maintained by many authors (developers, engineers, graphic designers, security researchers … ) from Google, Adobe, Amazon, ARM, Brave, Cloudflare, Facebook, Hewlett-Packard, IBM, Igalia, Intel, Logitech, Microsoft, Mozilla, Nvidia, Opera, Samsung, Vivaldi, Xiaomi, Yandex … and external contributors.”
Chromium is not only a web browser. It is a blend of different important open-source projects: