Can he sense it more clearly now?

Somewhat, but it's pretty far away.

They drive in the same direction the cart was heading. 

The Move will get gradually closer!

...not very fast, it sure moved pretty far.

They drive as fast as they legally can.

Stiles is not getting arrested by his dad.

It seems to be parked inside a library.

They go inside. Scott tells Stiles where it is.

Stiles slowly walks up to...the card?

No, that's a book. 

The card? 

Nope, regular computer.

...the card?

...well it looks like a regular book.

What if he tries to pick it up?

It acts like a regular book would.

Is this literally a regular book? 

He brings it to Scott and Kero, who is presumably still in the bag? 

He is indeed! And the book continues to be a book.

"So, anything? Is it even still here?"

"It's still here." 

...Is it? 

Yup.

He walks towards it slowly.

No reaction.

If he tries to pick it up?

Zoooooommmmmm.

Rude! It's not like the library is empty, and he doesn't want a reputation. 

...He never did put the staff away. He can probably just cultivate a reputation. He'll ask Stiles to come up with pros and cons later. 

He chases after the card. 

And the book falls on the floor with a thump.

And he meditates. 

A few library patrons stare, but he's only thinking of where the card is.

Can he find it before it picks a new object?

It's still in the library!

Upstairs, somewhere, in the locked area where the rest of the stock is.

"Kero, how thick does something have to be before Through won't work?"