The verb 보다 has two different meanings. 1st is To see, and the 2nd is "To try to verb" and we use this to emphasize the experience of the action of the verb. So please think that they are different verbs even though they use the same spells. So in its 2nd function, 보다 is added after another verb like 가 보다, 먹어 보다, 써 보다, etc. So, 써 봐도 means "even if I write" like you said and it has nothing to do with its 1st function which is To see.

Exactly. "Even if i write" can be just 써도 without 봐. Also 쓰다 can mean "to use" as well , so i hope the 쓰다 you used was for To write.

but in the sentence it's "써봐도" which is "even if i write"? so i'm not sure if it's actually related to that?

Both. It's a piece of grammar combined with the verb "to see", which mean something in the line of "even if you/I see..."