GIMP :: ICC Convert To Colour Profile Impossible

I can't find a way to import an .icc into my GIMP work.

I want to do this so that the pictures on my computer monitor match as closely as possible to the prints from my local (high-end) print shop. My screen is Spyder calibrated.

I'm trying;

Image >>> Mode >>> Convert To Colour Profile >>> (and then from the pop-up box) >>> Convert to ... (and then from the pop-up box) >>> Select Colour Profile From Disk

... and then I select the new .icc (provided to customers on the print shop's website) from a Downloads folder on my local drive.

That all sounds right doesn't it?

It stubbornly remains on sRGB.icc

I've also tried the process in;

Edit >>> Preferences >>> Colour Management

Same result - ignores the selection of a new .icc and remains stuck on sRGB.icc.

I'm desperately trying to colour correct for printing today.