Germany delivered 2 Patriot batteries last Sunday.
https://www.kyivpost.com/post/63519
Germany only has six herself, and they sent 2 from these due to the promise that the US will replace theirs ASAP.
Prior to this since 2022 Germany gave 3 batteries.
All in all I think they have about ten? Nine?
A battery consists of a power plant, a radar set, an engagement control station, several launcher stations (each with four tubes which can launch 4-16 missiles depending on the type), and an antenna mast group.
In theory a battery is serviced by 90 soldiers, but only 3 are needed to operate the whole air defense fire. I assume the rest drives stuff around, refills the launch tubes or swap them (haven't looked up how that really works), secure stuff, and does the maintenance.
So NATO only needs to loan 3 soldiers for each battery, the rest can be Ukrainians. I assume the training isn't just showing what button does what.

Russia destroyed some launchers and other components. They claim a number, Ukraine and western analysts confirm way less. At minimum one battery of components were lost to Russian strikes.