Hello.
I just shared a preview of all requested logo versions. They are all seamless and fully vector-based.
The final delivery will include AI, EPS, SVG, PDF, PNG (transparent), JPG, and favicon files.

I'm open to feedback and ready to start the business card design as well, once approved.

Best,
Victor
Baklect Creative

Looks great. Can you please center the link graphic between the words Luxe and LNK? Looks like it is a bit off centered. Also would you put the purse with links icon in between the Luxe LNK text for another option?

These are well noted.
I will make sure to share the revisions soon.