https://screenrant.com/half-life-how-to-play-friends-multiplayer-anniversary/
https://steamhost.cn/help_steampowered_com/en/faqs/view/081A-106F-B906-1A7A
https://steamhost.cn/help_steampowered_com/en/faqs/view/65A6-0A32-20EF-16E4

"steam_legacy" and local

Should be same, except you don't have to configure port forwarding in the router, and when you start the server, select LAN instead of internet. People can join using the LAN tab of the server browser. If you're looking for the Half-Life Dedicated Server, it's under tools in the Steam library. But you can also start TFC and create a server there using the main menu.

Warning: Uninstalling the Half-Life Dedicated Server might delete some files. This was a long time ago, so maybe It's not an issue any more.

its not work! "steam valid" hlds and not hlds

Have you tried running HLDS in console mode?

hlds.exe -console -game tfc +maxplayers 31 +sv_lan 1 +map 2fort

I also saw a bat or cmd file which creates "steam_appid.txt":

echo 20> steam_appid.txt
start hlds.exe -console -game tfc +maxplayers 31 +sv_lan 1 +map 2fort

Though originally it was for internet use with

+sv_lan 0

play with them

no. also i fix make a backup version hlds 2019