Have you sorted the leak yet, ?
Although most here agree, lead work needs addressing around stack, bit of pointing.
Only other obvious signs, couple tiles cocked up a bit, need some tingles.
After re-reading the post (carefully this time) you actually own both roofs, and the leak is from the older roof, but not in attic so its the first floor directly below the gutter, r/h of join.
You state, the water mark, which would be outside (as we cant see inside) and you are not really bothered about it, which suggests to me, that you have water dripping outside and not inside.
On that part of the roof there are some wide gaps on the joint, but my money is still on the guttering ie stop ends fitted to both sections.
Although most here agree, lead work needs addressing around stack, bit of pointing.
Only other obvious signs, couple tiles cocked up a bit, need some tingles.
After re-reading the post (carefully this time) you actually own both roofs, and the leak is from the older roof, but not in attic so its the first floor directly below the gutter, r/h of join.
You state, the water mark, which would be outside (as we cant see inside) and you are not really bothered about it, which suggests to me, that you have water dripping outside and not inside.
On that part of the roof there are some wide gaps on the joint, but my money is still on the guttering ie stop ends fitted to both sections.