The reason you were able to tear the lace was because you only have it secured at the perimeter with tape.
So the area in the middle will be able to move & stretch with any brushing, combing or grooming.
You'll have to be careful to not make it worse by not playing with it so much.

If you could get a bit of glue through the hole, on to the scalp and then secure that area of lace, it would really help.

I think this is why so many guys go for a more durable French Lace with a Swiss Lace front.

I use glue all over, so the only time I've torn my lace was when it was off my head & I was brushing it whilst it dried.
I tore a huge great hole right the way across it.

I was doing a reattachment because I was flying off on a months holiday the next day!
I spent the whole holiday keeping it sewn together!