Any of the voice remotes will work with any Roku TV, but they have to be paired and I believe you need a working remote to accomplish the pairing. The Roku mobile app can be used as that remote as long as your TV is connected to your network. The other, and cheaper, option is the Roku remote for TVs which will work with any Roku TV.
Roku TV Remote | Replacement Remote For Roku TV | Roku
Roku Mobile App - Free for iOS® or Android™ | Roku
I don't know if that model number lookup thing applies to Roku TVs or just Roku players.
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