Yes, Company ID part refers to your company. It is a 24-bit Organization Unique Identifier (OUI) address assigned by the IEEE.
For testing purposes, you can use the Cypress OUI (0x00A050). For production purposes, you should to get the OUI for your company. You can get your Company ID from the Bluetooth SIG after you get an adopter or associate membership, or can use an OUI assigned by the IEEE.
Company Assigned part is a 24 least significant bits, where you can use either silicon-generated company-assigned value or you can directly write a value into flash. If you enable 'silicon-generated company-assigned value' in the BLE component then the “Company assigned” part of the device address is generated using the Wafer ID and X-Y die location on the wafer. PSoC creator then populates the company-assigned part of the device address using the 6 bits of the Die X register, 6 bits of the Die Y register, 5 bits of the Die wafer, and 7 bits of the Die Lot registers.
Please refer to the KBA Setting Bluetooth Device Address – KBA211407 for more information.