I believe ballotpedia.org had NM starting 10/17 for in-person but I think they actually started about a week ago. Need to absolutely confirm this though. McDonald has had in-person data on NM for about a week.
Correct. I believe someone could vote at some particular offices.
On 10/17 the voting expanded across the state.
Early Voting
Early voting begins in the office of the county clerks on Tuesday, October 6, 2020, and alternate early voting locations open on Saturday, October 17, 2020. Early voting continues through Saturday, October 31, 2020. Please check locations and hours of operation by visiting NMVote.org or by contacting your County Clerk’s Office.
https://www.sos.state.nm.us/voting-and-elections/voter-information-portal/absentee-and-early-voting/