Nice car!
In terms of getting it roadworthy, I would think you need to go through all the systems, one by one: brakes, fuel, spark, clutch, oil, ...
Flush and replace all fluids. Check flexible hoses for cracks. Check rubber bits in the suspension for the same. Tires probably need replacing after 10 years.
Is motor frozen? Was it put away "wet", or properly stored for the long term? (E.g. squirting oil into cylinders, draining fuel, etc.)?
It might be best to reach out to your local Triumph club. Offer a few cold brews and brats, and have someone look it over.