you can try this way:

Define a new computed field in the stock.picking model that checks for the associated transfer in receipts and subcontrating. This field will determine the visibility of the button.

from odoo import models, fields, api

class StockPicking(models.Model):
_inherit = 'stock.picking'

is_transfer_receipt = fields.Boolean(compute='_compute_is_transfer_receipt', store=True)

@api.depends( 'picking_type_id')
def _compute_is_transfer_receipt(self):
for picking in self:
is_transfer_receipt = False
if picking.name and picking.picking_type_id.code == 'receipt':
transfer_receipts = self.env['stock.picking'].search([
('origin', '=', picking.name),
('picking_type_id.code', '=', 'subcontrating'),
])
if transfer_receipts:
is_transfer_receipt = True
picking.is_transfer_receipt = is_transfer_receipt

Make sure to replace 'your_button_field_name' with the actual field name you have defined for your button.