For a Tesla from the USA or Canada bought through an importer or previous owner, submit the request through My Products → Add Product in the app. Tesla asks for the VIN, documents and owner information. Its published processing time is up to 48 hours, but incomplete documents or additional checks can delay the process. For a company-owned car, follow the business-document instructions provided for the specific request. Tesla
TQO was the name requested for the project car, not a code everyone should use. Four days was also the actual processing time for this vehicle, not a mandatory waiting period for every US or Canadian Tesla.
Once configured, the phone key does not need an internet connection to unlock the car. On Model Y, it uses Bluetooth. Carrying a key card as a backup is a good idea, particularly if the phone switches off or runs out of battery. Tesla
Sources: Tesla: adding and transferring vehicles in the app · Tesla Model Y: keys and Phone Key