a) No idea
b) and c) Depends if you are making the Auto-Doc or Tree of Wonders.
BTW, these only hand out Respite and Catch a Breath inspirations. The break free dispenser takes somewhat longer to earn.
Octavian Vanguard
@ohmsEU and @ohms 2
Badging character: Bimble on the Union server, Badgehunter.com and City Info Tracker.
If you find out a) I would be interested to know. If I get to hit I'll try it out myself tomorrow and get back to you.
Matter of fact, I'll test it now. Will edit in a few minutes.
When I left the SG it said that I would LOSE all unplaced personal items. 
so no, doesn't work
Only two healers in my SG it'll take me years just to get the first badge... :'(
At least you have two 
I only got my /rad and I -think- there's another /rad in the sg 
LAst time I checked the auto-doc was still bugged / out-of-order
I don't expect this too work. The placement of the item depends on the SG having the badge I guess. At least I would have it made like that.
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Good point, I wonder if the auto-doc was fixed in i12
runs off to check
Edit:
Yes, it now attaches
Octavian Vanguard
@ohmsEU and @ohms 2
Badging character: Bimble on the Union server, Badgehunter.com and City Info Tracker.
I know after a while you get a inspiration dispenser with your SG healing badge, is this a made item or can you place it from a normal medical section?
If it is a made item (from salvage) can it be made in a SG that has the badges and placed in a SG that doesn't? So if I make it while in a SG that has the badges it gets added to my personal items list, then I quit that SG, rejoin/join my own SG and place it from there.
a)Will this work?
b)What salvage does it require?
c)What are the power/control costs of the basic version of this?