It simply won't budge. I am open to recommendations from the group here. Any suggestions? And before anybody here even brings it up, no, you cannot get a torch in there.
You only need a good pull with a long rachet. O2 sensors only have 4~5 threads, installed with antiseize, rarely need anything dramatic.
First, good sockets, this is probably the best among non-truck brands:

Differrent lengths, crawfoot will be helpful to avoid obstacles.
2nd, 1/2" drive long rachet, extension (to avoid obstacles)
3rd, make room. Will removing intake air tubes, boxes helpful? Any hoses are in the way? Can you access it from down under?
I recently changed 4 O2 sensors on a Honda V6. The biggest headache was one of the sensor 2's. I had to craw under, extremely tight and awkward. Thinking back, without my Gearwrench 120XP 17" 1/2" rachet (I only have about 30 degree swing room), without those O2 sensor sockets, without extension, I would not have done that O2 sensor.
Be patient, focusing on how to gain better access. You will figure it out.