Help creating computed fields

Hi! im trying to do an extension of PrismaClient so I can add a computed field.
each pageItem has a relation of many-to-many with products, and each product have a type.
I wish to generate a computed field named "isMerch" that its true when all the products it contain are of type "MERCH".
Here is my approach, far from being usefull...

export const prismaClient = new PrismaClient()
.$extends({
  result: {
    pageItem: {
      isMerch: {
        needs: { productRelations: true }, 
        compute(pageItem){
          return pageItem.products.reduce((prev, curr) => prev || curr.type=='MERCH', true);
        }
      },
    }
  }
});

export const prismaClient = new PrismaClient()
.$extends({
  result: {
    pageItem: {
      isMerch: {
        needs: { productRelations: true }, 
        compute(pageItem){
          return pageItem.products.reduce((prev, curr) => prev || curr.type=='MERCH', true);
        }
      },
    }
  }
});

export const prismaClient = new PrismaClient()
.$extends({
  result: {
    pageItem: {
      isMerch: {
        needs: { productRelations: true }, 
        compute(pageItem){
          return pageItem.products.reduce((prev, curr) => prev || curr.type=='MERCH', true);
        }
      },
    }
  }
});

export const prismaClient = new PrismaClient()
.$extends({
  result: {
    pageItem: {
      isMerch: {
        needs: { productRelations: true }, 
        compute(pageItem){
          return pageItem.products.reduce((prev, curr) => prev || curr.type=='MERCH', true);
        }
      },
    }
  }
});

The first issue I encounter is on the needs field, how can I use relations?

PD: I restarted to work with prisma after a whole year, i'm a little rusty in a lot of aspects.

Help creating computed fields

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