USB-C to Digital AV Adapter Not Charging iPhone

With my old (now replaced) iPhone 14 Pro, I used the old Lightning version of the Digital AV Adapter to connect my iPhone to my TV via HDMI to play movies downloaded to my phone on the TV. The Lightning to Digital AV Adapter had a male Lightning connector to connect to the phone, a female Lightning port to connect a charging cord, and an HDMI port. Everything worked: the iPhone charged, and the signal passed from the phone through the HDMI cable to the TV. I now have a new iPhone 16 Pro that only has USB-C connections.

The new USB-C adapter has a male USB-C connector for connecting to the phone, an HDMI port, a female USB-C port for charging a cord, and a USB-A port that I'm not using. When everything is connected (again, I'm not using the USB-A port), the signal passes from the phone to the TV, but the phone doesn't charge. I've tried two adapters from different sources, and they work the same.

As a test, I connected the iPhone to the USB-A port using a USB-C to USB-A cable that I knew worked to charge and pass data (leaving the USB-C connector unconnected), and nothing worked. The iPhone didn't charge, and the digital signal didn't pass through to the TV.

I hope some Apple engineers see this and let me know if this is what they intended or if my area just got a bad batch of these things. And why is there a USB-A port on this "new" adapter? It doesn't seem to work, and the old adapter only had two ports, HDMI and Lightning.

Randy