separate tickets

Flying on separate tickets and on unrelated airlines was always eligible and accepted for both 24 and 144 hour visa free transit. You may encounter an ignorant staff member in, for example, Bangkok, but you should not retreat if you encounter a negative answer because you have right to accomplish your journey absolutely visa free. You should just have clearly presented flight tickets and always repeat that your right is visible in Timatic.

So, when you arrive in Guangzhou, the first thing you will do is to approach 24/144 hour visa free transit counter where you will apply for a temporary entry permit in order to be allowed to exit the airport and to collect your luggage, to have a night rest in the hotel (if you have an overnight layover) and to finally catch your flight to Taipei. This application is free of any charge and here you will present your flight tickets and your hotel booking if you plan to spend the night in the hotel.

After your permit is granted you will head to the immigration and then to the activity you need to accomplish in order to catch your flight to Taipei.

To conclude, you are good to go and I wish you a nice journey.