I'm going to leave
bifold as a rare word for two main reasons.
Firstly, it's often written with a hyphen. According to the News on the Web corpus, it's hyphenated more often than not in British and Australian publications. So some players might assume it's always written as
bi-fold.
Secondly (and this one is a bit facetious) it fails in its main duty - of conveying a meaning - so how can it be considered a common word? Here is the Merriam-Webster definition:
designed to fold twice
But Wiktionary says:
A door, window, shutter, or divider consisting of two equal panels hinged together so that it opens by folding the panels against each other.
There follow some additional senses, for paper, wallets, etc, but all involving just one fold.
Collins has a bet each way. They offer a British English definition: "foldable in two places" and an American English variant: "capable of being folded into two parts, as with leaves that are hinged together".
Google image search shows "bifold" doors and windows with one fold and with two folds. Occasionally an array of several doors hinged together, concertina style, will be captioned as "bifold". It seems like the word really just means
folding!
(I note that "bifold wallets" are almost always those with one fold. A wallet with three sections and two folds is likely to be called
trifold. The word
trifold is also used for brochures with two folds.)
Incidentally, the fashionable cachet of bifold doors may be fading. The Collins dictionary entry has a usage example from the
Sunday Times in 2013: "Bifold, or folding/ sliding door systems, are very much the thing of the moment." But then another example, from the same paper the following year: "One final word of advice: for some, the bifold door is already dated."