Question about Bintec ANT-4G LTE cross pole

How thick are the cables?

Probably like the standard thickness here in the data sheet of 4.8 mm:

https://www.delock.de/produkt...

Can I pull them through a closed window/door?

No, definitely not.

Crushing the cable can cause a short circuit and this can even destroy the router.

Drill a hole, that's the motto!