A feeling of anxiety or apprehension often accompanied by depression?

The answer is Dread.

Dread is a feeling of intense fear or anxiety about something that is likely to happen. It is often accompanied by depression, as the person may feel hopeless and overwhelmed by the prospect of what is to come. Dread can be caused by a variety of things, such as the fear of death, the fear of failure, or the fear of change. It can be a very debilitating emotion, as it can make it difficult to concentrate or focus on anything else.

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