Can I put the battery for the Touch Bar model in the non-Touch Bar one

The battery in my MacBook is junk to the point where it needs to be plugged in 100% of the time and I need to use it for school,

So, I ordered the Ifixit fix kit to put a new battery in it, but either I ordered the wrong one, or I received the wrong parts since they are for the touch bar model, where mine is the non-touch bar model…

Is it possible for me just to install this battery even though it’s not technically for this laptop, or do I need to return and re-order the parts?