Hi there!
It should be possible to create a custom citation style or maybe there is one already, but I’m not aware of it. Creating a custom citation style is pretty complicated and might be overkill for your purpose.
Something that seems to work though is the following:
#let my-cite(label) = {
show regex("[A-Z]. "): none
cite(label, form: "prose")
}
A citation in the style you asked for: #my-cite(<some-citation>)
#bibliography("bibliography.bib")
My answer is inspired by this post about getting rid of other parts of the citation (in another citation style)