If you actually have (significant) tears you are not likely going to overcome them until you rest.

Imagine a cut on your skin which you keep tearing open.

Now, if you just have soreness etc that would be different and you can quite likely work through it.

What is intensive about your training? What are you doing that is highly stressful? (You only mention '3 days per week' which is not by itself particularly intense, but could be made so by the type, length, level, etc of your activities....)

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HerbM