Would the Syndicate ever work with a Glasswalker.

My players, a mixed convention amalgam designed to troubleshoot problems. Are on the tail of an ex SPD formori. While investigating/hunting them down they encounter a syndicate private security firm who is also trying to eliminate target.

One of the syndicate team refuses to use guns. Their investigation shows he is actually a very good marksman so they became fixated on why. In game they found out he prefers to use his taser, which is a fetish designed to hurt spirits and weres, the no gun thing is actually part of the items ban.

Out of game my players speculated he might actually be a brainwashed trad mage, one then floated the idea that could be a Werewolf.

That got me thinking, would/could they team up to try and deal with the wyrm threat?

I know it's my game and therefore if I want them to then yes. But was interested in other people opinions and potential lore reasons would/would not work.