Combo touch keyboard case that can be used with Macbook?

Good day everyone, hope you are doing well!

I am considering buying an iPad Air as a complement to my MacbookPro, however this question does not concern these products per se.

I'd like to buy a keyboard case for the iPad, one that also has a trackpad built in such as the Logitech combo touch. However, am I correct in that this doesn't have bluetooth? I was planning on occasionally taking just the keyboard and mouse part, and connecting it to my MacBook that would sit on a few books to be in a more ergonomical position.

Essentially this is the characteristics I am looking for:

1) Ipad keyboard case

2) Has a trackpad

3) Keyboard and trackpad part detachable from iPad

4) Has bluetooth and can be connected to MacBook

Hope this makes sense, I am really having a hard to finding a product with these characteristics so I would highly appreciate any tips!

Rafael