OR Engineer was meant to install a gig broadband line today, say's he couldn't do it because BT screwed up.

Long story hopefully short:

I've been looking to switch away from Virgin for a while now and had to go through a whole process of getting Openreach to update their database because they never had my house listed as available for connection to their faster broadband when it was. (separate issue due to differing post codes).

I eventually got that resolved and signed a contract with Sky to move over to them with the activation date being today. The OR engineer shows up at my door and says that there's an issue.

Basically he is saying that BT were supposed to have come out and checked that there was fast broadband pole near my house they could run a line from, but due to big layoffs recently they haven't been doing this like they should. The OR engineer turns up and says this is the situation where I live:

https://i.imgur.com/QQkIp4o.png

In short, the old pole that I have a defunct landline from years ago was situated in the back of my garden, but the new pole that people get their fast broadband from is across the street and has a whole other house in the way and he can't run a line for obvious reasons.

He's saying that BT will need to come out and survey the area and put a pole in themselves, which is obviously not great because that sounds like something that will take ages to happen, all the while Virgin as fucking me for being out of contract and no longer getting a deal. Not to mention the contract with SKY I was supposed to start today.

The OR engineer said his supervisor is coming out today to look at the situation and see it for themselves, and that I should leave it with them to see how this gets resolved.

Does anybody have any sort of advice on what I can do here (if I can even do anything?), Is BT at fault? Surely there has to be a connection pole somewhere on my side for all the other houses in my row of houses? Am I as well going back to Virgin and getting a new contract with them (that I really don't want to do, but i sort of need the internet for obvious reasons).

Any help would be appreciated.