Apple TV remotes for gen 2 and gen 3 Apple TVs are available on eBay and Amazon. No doubt some of these are cheap knock-offs, but some are genuine Apple devices - possible designed for non-US markets. The price is cheap ($7 - $15). This is the easiest way to fix your problem and avoid the hassle of installing apps, pairing phone, etc.
The later-generation Siri remotes, including the one for the 4K Apple TV are also available. One of my 4K Siri remotes broke after being dropped onto a tile floor. Refusing to pay Apple $59 for a replacement, I bought one (“genuine Apple”) on eBay for $30. It works perfectly and appears to be a genuine Apple device in all respects.
I continue to marvel at the incredibly poor design of the clumsy Apple TV remotes, including the glass construction of the newer 4th- or 5th-gen Siri-enabled remotes.
I also bought a rubber-like sleeve or case for all 4 of my Apple TV remotes, hoping to avoid a repeat the broken remote device after dropping it. I recommend this one: