Thanks for adding these, but please note that the access tags should be:
vehicle=private + bus=yes

The psv=yes tag is unnecessary abd almost certainly incorrect, as PSV is not an exact synonym for bus/bus+taxi in the UK. While signs and traffic orders restricting or prohibiting PSV access exist, tis is not the case for explicit permission.

The motor_vehicle=designated tag is wrong. The value "designated" does not mean "for designated vehicles only", but "designated for use by ALL motor vehicles as a legal right". The former situation is described by the "private" access value.

Where there is a bus bay which is not physically separated from the main carriageway, the carriageway can be split and the tag bus_bay=left|right added to the appropriate section.

See https://wiki.openstreetmap.org/wiki/Busmiles.uk

Updated in https://www.openstreetmap.org/changeset/168966946