A regex to remove Anki's cloze markup

Recently, someone asked a question on r/Anki about changing and existing cloze-type note to a regular note. Part of the solution involves stripping the cloze markup from the existing cloze’d field. A cloze sentence has the form Play {{c1::studid}} games. or Play {{c1::stupid::pejorative adj}} games.

To handle both of these cases, the following regular expression will work. Just substitute for $1.

\{\{c\d::([^:\}]+)(?:::+[^\}]*)*\}\}

However, the Cloze Anything markup is different. It uses ( and ) instead of curly braces. If we want to flexibly remove both the standard and Cloze Anything markup, then our pattern would look like:

[\{\(]{2}c\d+::([^:\}\)]++)(?:::[^:\}\)]+)?[\}\)]{2}