Seems like Garcia is extremely likely to win considering the issue with the results produced by the BOE yesterday didn't really affect the late round preference flows that much, only erroneously added a bunch of single preference votes to all of the candidates. Garcia needs to win the last round absentee vote by 8-10%, depending on absentee rejection rate and how many election day/provisional votes have not yet been tabulated, which seems pretty easy based on how well Garcia did in the early vote. Based on the preference flows, here is roughly how the election day and early vote last round went:
Election Day:
Adams 53.1%
Garcia 46.9%
Non-Exhausted votes: ~525k
Early Vote:
Garcia 56.6%
Adams 43.3%
Non-Exhausted votes: ~165k
So essentially the case for Adams winning now seems to be that he does better relative to Garcia on absentee votes than the early vote.
For anyone interested and can't find the early vote data,
here are the numbers I used for early vote from taking the results from the BOE page shortly after polls closed, thus assuming all of these votes were just early votes.