Call eth_estimateGas on different ELs

eth_estimateGas.js

const ethers = require("ethers"); // v5.0.3

(async () => {
  [
    { client: "Nethermind", url: "" },
    { client: "Besu", url: "" },
    { client: "Geth", url: "" },
  ].forEach(({ client, url }) => estimateGas(client, url));
})();

async function estimateGas(client, url) {
  const provider = new ethers.providers.JsonRpcProvider(url);
  const estimate = await provider.estimateGas({
    from: "0x9d055dd23de15114ec95921208c741873ede8558",
    to: "0xe74bc1c4c27284ab7dbcf55f71fcc04b832fc32c",
    data: "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",
  });
  console.log(`${client}: ${estimate.toString()}`);
}

I am not that familiar with Nethermind itself but I am guessing you should be able to use the CLI as well. Make sure you install ethers v5.0.3, I have not tested the script with other versions.