The Hong Kong visa you applied for is a group visa. According to regulations, group visas usually cannot be used for individual travel. If you need to travel individually, it is recommended that you apply for a new personal travel endorsement.
After applying for the Hong Kong and Macau Pass, you can usually receive the endorsement within about a week. After receiving the endorsement, you can arrange travel to Hong Kong and Macau. However, the specific time may vary depending on personal circumstances and work efficiency.