I wouldn't get a tattoo because I'm not a tattoo person.
However, this is also cultural. If the culture of your GLO is conducive to tattoos (and brands) then do it in a clean, safe, and smart manner. Some people have tattoos that you can see on their arms, legs, and other parts of the body. Other people have tattoos that no one can see. They can practically wear anything and attend any type of event without worrying about whether their tattoo can be seen. They can also get older and change their mind about the tattoo (but not about their GLO lifetime commitment) without feeling they have to go through the nightmare of tattoo removals all over their body.
This is also relevant for GLOs in which the lifetime commitment means we rarely hear members say "oh that was college". The people who would say that wouldn't be around us in the first place.
I know BGLO sorority and fraternity members who are 30+ who still get tattoos (and brands). Many of them can attend black tie galas, professional meetings, social events, and service events without people knowing they have tattoos (and brands).
Do what you do but make sure it works for both YOU and your GLO.