solana. Mint nft with updateAuthority not equal to owner

it`s my first questions on stackoverflow :)

Id like to mint nft to my friend but еto reserve the right to update metadata. I use my publickey like updateAuthority for CreateMetadataAccountV3InstructionAccounts but response "Program log: Mint authority provided does not match the authority on the mint"

Thank you!!

  const ownerPubkey = new web3.PublicKey(owner);
  const payerPubkey = new web3.PublicKey(payer);
  const updatePubkey = new web3.PublicKey(update);

  const mint = web3.Keypair.generate();
  const instructions: web3.TransactionInstruction[] = [];
  const signers: web3.Keypair[] = [mint];

  const userTokenAccoutAddress = getTokenWallet(ownerPubkey, mint.publicKey);
  const metadataAccount = getMetadata(mint.publicKey);
  const editionAccount = getMasterEdition(mint.publicKey);

  instructions.push(
    web3.SystemProgram.createAccount({
      fromPubkey: ownerPubkey,
      newAccountPubkey: mint.publicKey,
      lamports: MINT_RENT,
      space: MintLayout.span,
      programId: TOKEN_PROGRAM_ID,
    })
  );

  instructions.push(
    createInitializeMintInstruction(
      mint.publicKey,
      0,
      updatePubkey,
      updatePubkey,
      TOKEN_PROGRAM_ID
    )
  );

  instructions.push(
    createAssociatedTokenAccountInstruction(
      payerPubkey,
      userTokenAccoutAddress,
      ownerPubkey,
      mint.publicKey
    )
  );

  const accounts: CreateMetadataAccountV3InstructionAccounts = {
    metadata: metadataAccount,
    mint: mint.publicKey,
    mintAuthority: ownerPubkey,
    payer: payerPubkey,
    updateAuthority: updatePubkey,
  };

  const args: CreateMetadataAccountV3InstructionArgs = {
    createMetadataAccountArgsV3: {
      data,
      isMutable: true,
      collectionDetails: null,
    },
  };

  instructions.push(createCreateMetadataAccountV3Instruction(accounts, args));

  instructions.push(
    createMintToInstruction(
      mint.publicKey,
      userTokenAccoutAddress,
      ownerPubkey,
      1
    )
  );

  instructions.push(
    createCreateMasterEditionV3Instruction(
      {
        edition: editionAccount,
        ...accounts,
      },
      { createMasterEditionArgs: { maxSupply: 0 } }
    )
  );

I use my publickey like updateAuthority for CreateMetadataAccountV3InstructionAccounts but response "Program log: Mint authority provided does not match the authority on the mint"

When you create the metadata account and mint tokens, you're specifying the mint authority as ownerPubkey, when you previously specified updatePubkey. You should change them to:

  const accounts: CreateMetadataAccountV3InstructionAccounts = {
    metadata: metadataAccount,
    mint: mint.publicKey,
    mintAuthority: updatePubkey,
    payer: payerPubkey,
    updateAuthority: updatePubkey,
  };

and

  instructions.push(
    createMintToInstruction(
      mint.publicKey,
      userTokenAccoutAddress,
      updatePubkey,
      1
    )
  );