MongoDB. How to use sorting, search and limit in aggregation correctly

Question

Suppose I have 10 million documents. I need to skip the last 5 documents and get the last 10 documents.

This code works fast

documents.find({user: 'demo'}).sort({ _id: -1 }).skip(5).limit(10)

This code works very very slowly and loads the system heavily.

documents.aggregate([
  { $match: { user: 'demo' } },
  { $sort: { _id: -1 } },
  { $skip: 5 },
  { $limit: 10 },
])

This will work quickly if the match is moved to the end, but then the results will be incorrect. Help me figure out how to write a query correctly using aggregate