One of the virtues of the mini-Trangia is that it can contain its own somewhat limited fuel supply, about enough to boil two nice cups of tea. Just unscrew the cap and ignite. Just be sure that the O-ring is not cracked and allowing fuel to leak into your pot. Learned that the hard way....
Don't EVER put out the flame by putting the lid on. The heat destroys the O-rings (or so I'm told, I haven't used brass burners for years - the alternatives gives so much more pyromanic fun... ).
Luckily, alcohol is not poisonous the same way as paraffin or white gas, or fuel tabs. I would never drink from a pot that just had some paraffin sloshing inside it (the effect is immediate, highly embarrasing and inconvenient). But I would just rinse and use a pot after alcohol spill.
Tell me - does the additives in de-naturated alcohol (supposed to make you NOT wanna drink it) flavor the food and water made from that pot?