If the CS master is free(!), then go for it.
If you have to pay -lets say- 30.000 bucks, rethink.
The additional time of being student will open you newer doors, than if you are already working - assumption: IF the CS master is free, otherwise it may not pay off
Being a student is a huge privilege in most countries accordings to different costs/fees/taxes - so I recommend everyone to keep this status, as long AS IT IS FREE and legally possible.
The opportunity cost of that privilege is still non negligible, even if you (like in Denmark) get paid to do your tuition free degree.