The signage here is a little inconsistent, but that looks OK to me.

Assuming the available imagery is still current:

1) Entering from Boundary Lane: no entry sign with "except buses and cycles" on the left and "no through route except for buses and cycles on the right".  A no entry sign should be interpreted as vehicle=no, with bus=designated + bicycle=designated exceptions. "No through route" would usually mean access=destination, but that doesn't really make sense with a no entry sign and the plate on the right isn't an authorised variant. Bing street side imagery of uncertain date.
https://www.bing.com/maps/?toWww=1&redig=5D8227B414074D5485818F590B616E23&cp=51.52195%7E0.039991&lvl=19.1&mo=om.1&pi=-19&style=x&dir=219.5

2) Exiting toward Boundary Lane: bus and cycle only blue sign, with a separate white "no through route except for buses and cycles" sign before it. I think the white sign can be ignored for practical purposes, so it should probably be access=no + bus=designated + bicycle=designated here. If there weren't' separately mapped sidewalks here, foot=yes might be needed. Mapillary imagery from Jan 2024.
https://www.mapillary.com/app/?pKey=390804306768746