Hi,
The fan part number is shown in the image below taken from this [https://www.laptopinventory.com/ModelDetail.php/Toshiba/Satellite/C55DT-A5306/Fan/41163|webpage].
[image|2274929]
(click on image to enlarge for better viewing)
The ifixit iRobot spam detector won’t let me enter the part number because it thinks that it is spam.
So here’s a link that show suppliers when you enter the [https://www.google.com/search?client=firefox-b-d&q=V000220360+-6033B0022802-A01|part number] (note the full part number in the search box at the top of the page)
If you search online using this number you will get results for suppliers that may suit you better.