What is the vibration connector called in Steam Deck?

It looks like a "JST style: wire to board connector" but you have to measure it in order to find the specific name.

And/or simply contact Valve or maybe JST, whom might have the answer.

Copied (and lightly edited) from Wikipedia:

JST connectors are electrical connectors manufactured to the design standards originally developed by J.S.T. Mfg. Co. (Japan Solderless Terminal). JST manufactures numerous series (families) and pitches (pin-to-pin distance) of connectors.

JST connectors are used in many types of products, and commonly used by electronics hobbyists and consumer products for rechargeable battery packs, battery balancers, battery eliminator circuits, 3D printers, and radio controlled servos.

The term "JST" is sometimes incorrectly used as a vernacular term meaning any small white electrical connector mounted on PCBs.