You described the company Crusoe. They've been building datacenters that do exactly what you said.

https://www.crusoe.ai/resources/blog/understanding-the-probl...

> Crusoe has built their business around turning flaring from an operational and regulatory risk for oil and gas companies, as well as an existential risk for our planet, into a multi-solve solution. Crusoe doesn’t just mitigate flaring emissions. They capture the gas, convert it into energy, and use it to power computing infrastructure.

Edit: Crusoe sold its bitcoin-mining operation including the Digital Flare Mitigation business to NYDIG in 2025, so the above may be inaccurate.