Which choice is correctly punctuated?

I started my research; at the library.

The library is a great place: I like to research.

I choose to do my research; at the library.

I know exactly where to start my research: the library.

Question

Which choice is correctly punctuated?

I started my research; at the library.

The library is a great place: I like to research.

I choose to do my research; at the library.

I know exactly where to start my research: the library.

Vocaloid · Answer

note that a semicolon ; can only be used to separate independent clause

while the phrase after a colon can be used to give information about a noun before it

with that being said what might the solution be?