The Factory Option Alarm is by Datatool
Acumen would be after-market - some of the Acumens are DIY install and some are only by professional installation.
Do you have a model number?
You need to see how it was installed
@Mongoose911 - Triumph actually provides a Factory Alarm interface connector into which the Datatool Accessory alarm plugs in directly
With after-market alarms, it depends on who installed it - they may have used this connector, or possibly made hard-wired connections into the main harness.
And if it has an immobilizer connection, it again will very much depend on how that was hooked up - with the OEM/Datatool alarm you simply unplug it and replace it with a bypass connector plug.
But if it was hard-wired then you need to 'remake' whichever connection was cut to re-complete the circuit.
The OEM alarm connector is located under the tank about half way down on the right side (the reference to the 'two loops' is for the bypass connector when an alarm is NOT fitted)
If its all connected to that point, then all you need is the bypass connector
If its hard-wired, then you need to do a bit more investigation on how it was actually connected.