Yes, you can also charge your Surface Pro 8 via USB-C. The device has two USB-C Thunderbolt 4 ports, both of which are suitable for charging, but there may be differences in which ports actually charge on some models. It is recommended to use a USB-C PD charger with an output of at least 65 watts to achieve optimum charging performance.
The charger you are missing is specifically designed for Microsoft Surface devices, but you can also use a USB-C PD charger as long as it delivers the required power.