Make "copy-to-clipboard" icon alignment consistent throughout

[uberbrady]

Sometimes we go right-aligned, sometimes left-aligned - let's pick one way to do it, and do that. (And, sometimes, in form labels).

Let's pick one way to do it and do it that way. Probably via some kind of Anonymous Blade Component, to make it easier?

This is related to, but not exactly the same as #17495