If you find yourself in a situation like this:
1) I have moved the official CSG and Critical Point Mastodon accounts from @ComplexSysGrp@csg.masto.host and @CriticalPointTV@csg.masto.host to @ComplexSysGrp and @CriticalPointTV@complexsystems.group respectively
2) I have updated the rel="me" links on both https://complexsystems.group and https://criticalpoint.tv to point to the new accounts
3) However, somehow the old accounts were still showing as verified and the new accounts weren't.
The solution was:
To go into the "Public Profile" tab under the new accounts' Preferences and hit "Save Changes" again. This apparently caused my Masto instance to reevaluate their verification status.
(Plausibly I should also go into the old accounts' settings and resave them as well to drop the verification badges, but Masto won't let me do that and they're going away, so enh whatever.)