Refactor context out of API packages (#8755)

* Refactor context out of API packages

* Update function names per feedback

* Move webhook handlers to web and fix web tests

* Move more webhook tests out of api package

* Fix static handler

cmd/commands/server.go

@@ -107,7 +107,7 @@ func runServer(configFileLocation string, disableConfigWatch bool, interruptChan
 	api4.Init(a, a.Srv.Router, false)
 	api3 := api.Init(a, a.Srv.Router)
 	wsapi.Init(a, a.Srv.WebSocketRouter)
-	web.Init(api3)
+	web.NewWeb(a, a.Srv.Router)
 
 	license := a.License()