We are trying to add further domain filtering on the field "product_id" in sale.order.form

Current xml:

<notebook>
<page string="Order Lines">
<field name="order_line" mode="tree,kanban" attrs="{'readonly': [('state', 'in', ('done','cancel'))]}">
<form string="Sales Order Lines">
<group>
<group>
<field name="product_id" context="{'partner_id':parent.partner_id, 'quantity':product_uom_qty, 'pricelist':parent.pricelist_id, 'uom':product_uom, 'company_id': parent.company_id}" attrs="{'readonly': ['|', ('qty_invoiced', '>', 0), ('procurement_ids', '!=', [])]}"/>

We wish to copy the domain filter we use on products view search (product.template.search):

<search string="Product">
<field name="name" string="Product" filter_domain="['|','|','|','|','|',('default_code','ilike',self),('name','ilike',self),('barcode','ilike',self),('product_variant_ids','ilike',self),('description_sale','ilike',self),('sku','ilike',self)]"/>

I have searched the forums, googled, and tested several implementations of syntaxes with no luck.

So please help reviewing how it should be written

Thanks,