There is quite a large team of moderators on the EE forum who can give advice, but none of them have access to your account, but they may advise your best action.
What ‘work’ is required, you mention a car park , is excavation through this car park required ? , what sort of address is it , if it’s a flat/apartment , are you on the ground floor or upper floor so any ‘cables’ would have to be attached to the wall of another flat ( something you can’t give permission for ) ?
OR wayleaves will look on land registry for who owns the freehold and write to them , if this is ( as often is ) a foreign owner , or large company ( insurance company for example ) getting a response can be time consuming, you offering the name of whoever you pay rent to , or who you assume is the freeholder isn’t necessarily what’s recorded on the land registry .
https://www.broadbandchecker.btwholesale.com/#/ADSL/AddressHome
Post the results from this checker for your address , it may well give an insight into why a delay is necessary, although it does seem that it’s purely waiting on acceptance of a wayleave, the other potential problem is if the freeholder says OK to allowing the work but sees an opportunity to fleece Openreach and demands a payment.
It’s a flat
It is confusing about EE being a separate company from BT within the BT Group. When I checked a couple of weeks ago the moderators on this BT forum are in fact EE employees according to their profiles.