Mexico has not abandoned the vaccination process. However, it is extremely slow for a North American country. As you can see by the chart below that only 32% of Mexicans have received two doses and 20% have received just one dose.
Hospitals are again filling up and are full in some cities. The president said today that he refuses to make CDMX a red light and it will stay in orange, this is to protect the economy.
The U.S. has agreed to send an additional 8.5 million doses but I am not sure why Mexico isn't buying them as it is not for a lack of money.