It looks like the Peace roses my Dad planted at every house we lived in. His Mum had some in her Manchester garden. It is a tough specimen - we didn't get the black spot or other things roses are susceptible to, though aphids loved it of course.
You could take some cuttings of it. Roses seem to come very easily from cuttings. Just cut a few bits off and stick them in a corner with reasonably good soil. Now would be a good time as growing is what plants want to do at this time of year...
I think it could be a patio rose because the flowers are small - they do grow into large plants if you put them in the ground, I’ve got a more peachy coloured one than that which has grown large. Maybe yours is Sweet Dreams?
From the photo it looks to have the colouring of the Peace rose. My neighbour has one in her garden bought and planted when it was first marketed that is still going strong, if rather woody. At its great age that's little wonder.
I thought it might be Precious Amber which fits your description but the actual flowers look a bit small. Hope someone else has a better suggestion. Looks lovely.
It’s a shrub rose, absolutely covered with blooms all summer and into autumn. I’ve never fed it, and it’s in a very dry, relatively sunny position. It’s grown massively since I bought it some years ago - I’d like another for a similar dry situation. Haven’t seen anything similar in the local garden centre.