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All is not lost. You can use this stuff to build a new
compost heap before you lose much of the N. Sounds like all you need to do is add some dry brown material. You'll have a good head start on a fine heap.
If you wish to incorporate it into the soil, 6 weeks is plenty of time for the stuff to decompose further without burning up plant roots. Much of that stuff has been decomposing for months already. If you want the best of both worlds, compost the top half, use the bottom half in your soil.