CS2 has updated the way training matches work

Counter-Strike 2 Update Changelog – 11.09.2024 

– Scrims and matches started using the "map" command will now run in "loopback" mode to match the standard offline mode in CS:GO. The "loopback" mode bypasses most of the network code for the host, resulting in the local player experiencing one tick less latency. "Loopback" mode can be disabled by adding "loopback=0" to the "map" command (for example, "map de_dust2 loopback=0").