I have mongo documents with this fields:

[
{
    _id: ObjectId('662a2c03022c5f4f18566d7e'),
    created_at: ISODate('2024-04-25T13:06:09.135Z'),
    updated_at: ISODate('2024-04-25T13:10:11.238Z'),
    fields: {
        deadline: ISODate('2024-04-24T00:00:00.000Z')
    }
},
{
    _id: ObjectId('632a4c03017c5f4f18566d7e'),
    created_at: ISODate('2024-04-25T13:06:09.135Z'),
    updated_at: ISODate('2024-05-10T13:10:11.238Z'),
    fields: {
        deadline: ISODate('2024-05-11T00:00:00.000Z')
    }
}
]

And i want to know is there the way to filter updated_at by $lte or $gte by fields.deadline

I was trying next aggregation but it doesnt seems to work:

{'$match': {'updated_at': {'$gte': '$fields.deadline'}}