Not so much a remix, but a redesign of the original. Found the middle piece was taking all the strain, and would eventually break due to being printed vertically.
Since I couldn't think of a way to print this horizontally without supports, this re-design from scratch, fixes the original issue by using a much large middle piece to take the strain.
It also supports the toothpaste from both sides, so keeps it upright.
And finally, it is not nearly as tight fitting as the original which again reduces the strain on the print. This does mean if you squeeze the bottom part excessively hard enough, toothpaste will flow back up, however this should never happen unless you are trying to make it do it.
As before, scale to suit, and print with brim standing up
Let me know what you think.
UPDATE: Added a 2nd version which is a little bit more tighter.
Print standing up with Brim.