PUBG dev has been really conservative with their game. While PUBG Mobile is trying to put in as many new game modes as possible such as Zombie modes, Team Deathmatch mode, Rage Gear mode, Pay Load mode,..., PUBG seems to totally ignore all these modes and only focus on the main battle royale mode. Players can still play various game modes in Custom Match but custom lobby doesn't have a matchmaking system, making it very inconvenient to find a game for most players.
However, it seems that the developer has changed their mind about new game modes as someone in the dev team messed up the game and revealed an official panel for various game modes including Team Deathmatch mode right inside the main game client. However, they have reverted it and you won't find it in the main game client now.
The Team Deathmatch will be generally the same as the Team Deathmatch mode in PUBG Mobile and PUBG Lite.
However, there are some little differences. Players will have a loadout menu instead of having to pick up weapons and attachments at the start of each game. Players will respawn at a random safe place near their teammate. The game introduces a TDM boost gauge which will heal you (it will heal more when you don't take damage for a period of time). Killing other players will increase your TDM boost gauge. The game mode will be between 2 teams of 8 players. Players will join a match that is already running.
As you can see in the picture, there are also 2 other modes under the Team Deathmatch mode which is unknown. Team Deathmatch mode is likely to come to PUBG in the next seasonal update and the 2 other modes might be released soon after.
In other news, the PUBG Global Series event in Berlin has been canceled due to the Coronavirus outbreak.