I Try to use @ethereumjs/tx to sign Transaction. I want to send ETH from one address to second address.

....
const legacy = require( @ethereumjs/tx/dist/legacyTransaction );
const utils = require( web3-utils );
const {Personal} = require( web3-eth-personal );
....


    // https://docs.chainstack.com/reference/ethereum-sendrawtransaction
    const from = request.body.from;
    const to = request.body.to;
    const amount =  0.01 ;
    const passphrase = request.body.passphrase;
    const private_key = getPrivateKey(from, passphrase);

    // Define the gas limit
    const gasLimit = await new Web3Eth(local_provider).estimateGas({
        from: from,
        to: to,
    });

    // Get the transaction count for the sender address
    const nonce = await new Web3Eth(local_provider).getTransactionCount(from);

    // Define the transaction object
   const txData = {
        from,
        nonce: nonce,
        to,
        gasLimit: 21000,
        maxPriorityFeePerGas: utils.toHex(utils.toWei("5", "gwei")),
        maxFeePerGas: utils.toHex(utils.toWei("20", "gwei")),
        value: utils.toHex(utils.toWei( 0.01 ,  ether )),
    };

    const tx = legacy.Transaction.fromTxData(txData);
    const signedTx = tx.sign(private_key);
    const serializedTx = signedTx.serialize();
    const rawTransaction =  0x  + serializedTx.toString( hex );

    try {
        console.log(`Sending transaction...`);
        const result = await new Web3Eth(provider).sendSignedTransaction(rawTransaction);
        console.log(`Transaction hash: ${result.transactionHash}`);

    } catch (error) {
        console.error(error);
    }

reason: err: insufficient funds for gas * price + value: address 0x2f1030396172F3e3d308819833fBbA655A9785a3 have 19175306697701238 want 16737889130546396655769049807908504612912 (supplied gas 21000) ,

when I change to:

var tet = utils.toWei( 0.01 ,  ether );

const txData = {
    from,
    nonce: nonce,
    to,
    gasPrice: "0x" + parseInt(18000000000, 10).toString(16),
    gasLimit: "0x" + parseInt(90000, 10).toString(16),
    value: "0x" + parseInt(tet, 10).toString(16),
};

It s works Perfect!

My wish is not to set the gas fees and prices. I wish to make it auto.

but without inject the gas, it will not work.