Unfortunately, the pictures don't give a lot to go by other than the arm to mantle ratio appears to be about 5:1. Since you are located in NY, it is not a local animal so answering a few questions might help.
Do you know the ocean of origination (your supplier MIGHT know - often they do not)?
What are the most common colors it displays
Do you see extreme or only very small raised bumps on the skin when it displays them
Do you see "horns" above the eyes at times
Looking at the sucker tips, when they are not white, what color do you see? (Blue/purple or orange).
Roughly how long is the mantle (from the back of the eyes to the tip)
How thick is the mantle (describe as a fruit).
Note anything else you observe. Some species have eye spots but I don't know of one with the arm:mantle ratio this is displaying.
More pictures might also be helpful but I know the pain of not being able to eliminate the reflections
.
I would encourage you to add a lot of dark hiding places. They are easily stressed animals and do not survive well without places to den and hide.
Looking back at the first picture and the reflection, my low % guess would be an Octopus briareus adult. To look at examples search the journals forum for briareus or review the List of our Octopuses stickies at the top of this forum and click on the names of the animals listed (the oldest don't have links so scroll to the more current years. The posts with tables can be sorted by species).