How to serialize a transaction from mempool and sign it into a bundle

[jactttttt]

i just test signBundle via flashbots, i feel confused. there is the code

// the transaction is get from geth mempool
const transaction = {
                    "blockHash": null,
                    "blockNumber": null,
                    "from": "0x0160ea15d2125dd9c211f23169c4e4f4fb7957a8",
                    "gas": "0x4c4b40",
                    "gasPrice": "0x1ca10",
                    "hash": "0x696968e15c7174609adca25769c4e7c0e2c18d1eedbca8e4b71e3a0f59c52797",
                    "input": "0xc652885f0000000000000000000000009bd2aa38429c356be17c8c7bb07dab299200eeb84178ca8820c1a8dae966f1fdd132a2a874394233000000000000000000000054000000000000000000000000000000000000000000000000000000000000006000000000000000000000000000000000000000000000000000000000000000010000000000000000000000004178ca8820c1a8dae966f1fdd132a2a8743942330000000000000000000000000000000000000000000000000000000000000320",
                    "nonce": "0x163",
                    "to": "0x7ede79ed0d3acf3d4843c919975fb7bd97ecccba",
                    "transactionIndex": null,
                    "value": "0x0",
                    "type": "0x0",
                    "chainId": "0x5",
                    "v": "0x2e",
                    "r": "0xf4556687cb3df0f345ab903a2c9c46bb1a9fb413a0f498e8dba3b74253caa313",
                    "s": "0x281adb2e3f2b73c685aaaec10120b9ade46d6c2cd069d1106ae5093833d0bbf1"
};

const signedBundle = await flashbotsProvider.signBundle([
        {
          signer: transactionFromSigner.connect(provider),
          transaction: {
            ...baseTransaction,
            gasPrice: '',
            data: '0x'
          },
        },
        {
            // there, i don't know how to serialize transaction from mempool
            signedTransaction: ethers.utils.serializeTransaction(transaction)
        }
    ]);

[cervaens]

I use something like this in TypeScript:
const transactionTxSign: SignatureLike = { r: transaction.r || 'any', s: transaction.s, v: transaction.v };
signedTransaction: ethers.utils.serializeTransaction(transaction, transactionTxSign);