2nd seat clamp to stop slippage?

in The workshop
Evening all, I swapped my old mountain bike for a new gravel bike, which worked quite nicely over the last 2 weeks on my daily route, which is a mix of local roads, cycle lanes and hard trotten Forrest tracks.
The only downside is the seat which keeps slipping slowly down.
Seems to be a rarer version of 2 small Allen screws pressing a metal piece against the seat post (pic attached) I can Fasten the screws only so much without breaking them off.
I am wondering if a solution could be to fasten the small screws as much as possible and then use a second seat clamp like this (https://www.tredz.co.uk/.BBB-BSP-80-The-Strangler-Seat-Clamp_60885.htm) which would then rest on top of seat stay, and is just there r to prevent the seat from slipping down.
It is there a risk this clamp do some damage to the frame ?

The only downside is the seat which keeps slipping slowly down.
Seems to be a rarer version of 2 small Allen screws pressing a metal piece against the seat post (pic attached) I can Fasten the screws only so much without breaking them off.
I am wondering if a solution could be to fasten the small screws as much as possible and then use a second seat clamp like this (https://www.tredz.co.uk/.BBB-BSP-80-The-Strangler-Seat-Clamp_60885.htm) which would then rest on top of seat stay, and is just there r to prevent the seat from slipping down.
It is there a risk this clamp do some damage to the frame ?

0
Posts
Use some carbon assembly paste for added grip.
I have an Answer cf stem that has a second ring provided, exactly as you describe. You can clamp that reasonably tight and then there is less worry of overtightening the frame clamp.