Hi @nutzer39892
It looks like you damaged the double sided adhesive strips that are used to help secure the battery to the case.
You can install the battery but ensure that it is secured to the case using suitably thin and sized double sided adhesive tape strips. You don't want the battery moving around inside the case.
Here's information if you wish to get the tape strips used in the tablet. Make sure that you remove the old strips first before installing the new ones..
Search online for SD78C03373 to find suppliers that suit you best.
Here's an image showing what it looks like.
Note. The same tape is used in a lot of Lenovo tablets so ignore the results as showing for a particular model. The part number for the tape is in the parts list for your model as well. Click on Select Commodity > Die Cut pieces\Double-sided Adhesive and Foam (4) and view the part number shown for the Blade3-10 DLP-Tape Tape 20 part
crwdns2934105:0crwdne2934105:0
crwdns2934113:0crwdne2934113:0
crwdns2915270:0crwdne2915270:0
crwdns2889612:0crwdne2889612:0
2