Refactor "route" related code, fix Safari cookie bug (#24330)

Fix #24176

Clean some misuses of route package, clean some legacy FIXMEs

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Co-authored-by: Giteabot <teabot@gitea.io>

modules/context/api.go

@@ -343,6 +343,7 @@ func RepoRefForAPI(next http.Handler) http.Handler {
 			}
 			ctx.Repo.Commit = commit
 			ctx.Repo.TreePath = ctx.Params("*")
+			next.ServeHTTP(w, req)
 			return
 		}