N.M. Stat. § 53-19-13
Except as otherwise provided in the Limited Liability Company Act, the debts, obligations and liabilities of a limited liability company, whether arising in contract, tort or otherwise, shall be solely the debts, obligations and liabilities of the limited liability company. No member or manager of a limited liability company and no other person with authority pursuant to the Limited Liability Company Act to wind up the business or affairs of the limited liability company following its dissolution, shall be obligated personally for any debt, obligation or liability of the limited liability company solely by reason of being a member or manager of the limited liability company or having authority pursuant to the Limited Liability Company Act to wind up the company's business and affairs following its dissolution. A person may be liable for any act or omission performed in his capacity as a manager of a limited liability company if there is a basis for liability. Nothing in this section shall be construed to immunize any person from liability for the consequences of his own acts or omissions for which he otherwise may be liable.
NMS § 53-19-13