Bad setup.” Potentially my type” sounds as though you dk your type.
“ Potentially ???”- shes challenging you
“Yes”- wouldve been fine, but then you followed it up so now it just sounds goofy
“Gotta see how the connection is”- bro you literally hit her up
“I got a good feeling about you though” - You gave into her challenge and lost frame

I think you were trying to be the challenge but i still would’ve approached this entire thing differently. For the sake of this we’ll use the same opener;

You seem like potentially my type ;) -Shes gonna be like “wtf”, but will probably reply
Potentially ???- shes like “excuse me bitch” so id either just move on with the convo(where you from type shit) or hit her w something along the lines of:

“Yes.” Or “Potentially.”

If you really wanted to be long winded you shouldve called her out/addressed her comment.

Or you couldve been witty, something along the lines of “oh So youre sold on me already?;)”

But you reassured her and just took away the chase