Bounding box on PDF export of assets

I am new to AI. I've been using another drawing program on and off so I have basic skills.

I have been trying to create a better version of a logo I use. The logo itself is very simple, just two rotated text boxes with the same text on ad behind a black rectangle and using a bit of masking. I can recreate the logo, but when I export it (as Assets to PDF), I get a bounding box that is larger than intended and also not perfectly aligned with what is intended.

The result must be 100% vector. I suspect that the rotated text boxes are outside the rectangle and thus influence the bounding box.

The result currently looks like this. (Still not perfect in other ways too, but it shows my issue).

The JPEG is sized to the bounding box, but as you can see when you open it there is unequal white space around the outside rectangle stroke.

Is there a way I can just set the bounding box just as I want for these exported assets?