Orange County Floor Kitchen Bath

I have carpet in my livingroom and my dog tore a couple of sections out where the carpet meets in the kitchen and that is vinly tile and there is a metal strip layed down between the livingroom and kitchen. How would I fix the tear where the damage has been done? I do not want to replace the carpet. Could I buy a little larger metal strip and tack that down between the livingroom and kitchen this is mobile home carpet. Or should I cut that section out and lay more of the same peal and stick tile down and replace the metal strip tp cover the seams where the two rooms meet? Any advice would help me. Thank you.

i tore commercial carpet out of my new restaurant and underneath was not concrete but underlayement on top of a subfloor.. this underlayment has the old glue all over the place.. money is tight and time is an issue. i don’t want to have to tear up all that underlayment and replace it w new…. can vct get the job done? will it stay stuck to that old glue?