Lost distance vision

If near and intermediate are clear, but distance isn't good, that suggests that you are now nearsighted, but its very puzzling that the doctor instead referred to dry eye. Usually something like dry eye would impact vision at all distances, though it can change the refraction so in theory its a possibility. Dry eye can happen after cataract surgery, though its usually only temporary until the nerves that were cut heal, and usually would appear right away. Since the nerves tell the eye its dry and so it doesn't lubricate itself enough, people also  may not be consciously aware their eye is dry. It can also be a side effect. Sometimes swelling can happen after surgery and lead to a temporary change in refraction.

After surgery the IOL needs to heal into position during the first couple of months and although usually there isn't much change, it is possible for the lens to shift position and move either further forward or backward in the eye, which would seem one of the two most likely  issues. That changes the effective power of the lens since its a different distance from the retina, though the change is usually minor. I'd confirm what your refraction is, your prescription, to see whether you are now myopic.  The other likely explanation would be  that the toric lens rotated,  which also changes the refraction  If that is it, then the lens can often be rotated back into place.

If you are left nearsighted after surgery, or with residual astigmatism, they can correct that via laser enhancement after your vision has stabilized after healing has finished the first couple of months or so.

You definitely have nearsightedness and may also have astigmatism. Rather than trying to make a guess about it, it is easy for the doctor to check the prescription required to get you the best vision at the distance. Once you have that prescription, it will be easier to figure out the best way forward.

The eye examination should also tell you the best vision you can have with prescrlption glasses (or other options such as LASIK).

If you have significant astigmatism, the doctor should definitely look into your eye to check the current position of the lens. For example, in my own experience with the Symfony Toric lens, it had rotated from the installed position by almost 13 degrees causing significant astigmatism. Not only that, the prescription for the toric lens was slightly off. Once all the information is there, the doctor can figure out whether just rotating the lens back to the desired position will fix the distance vision (in my case, it was not) or one should pursue a different option such as LASIK enhancement. In my case, fortunately the LASIK enhancement was a no-cost benefit added to the basic cost of the Symfony lens. So, I had the LASIK enhancement done, which helped improve my distance vision to 20/15.