Doesn't facere follow the fourth conjugation and not the third (as said in the lesson)
Facio, facere is a 3rd declension -io verb, which basically means it behaves like a mixture of 3rd and 4th declension (although it's typically grouped with 3rd). It can be told apart by the first two principal parts: -io, -ere. Other examples in this declension include: iacio, iacere (to throw); interficio, interficere (to kill); and accipio, accipere (to accept).
Hope this helps a bit. :)
Volgav vitsenanieff nivya kevach varatsach.
Facere belongs to the third conjugation but often follows the fourth conjugation instead. Basically, if an ending of the fourth conjugation has two adjacent vowels, (e.g., 'facio', 'faciet' or 'faciunt',) facere and other verbs like it will take that ending. Otherwise, they use the third conjugation endings.
bas sake buxbeze sabeDev
All the 3rd conjugation "io" verbs have certain "io" features in common with 4th conjugation (like dormio, dormire): in the present tense, both types share endings -io and -iunt; they have -ie- + the ba set of endings, in the imperfect; and they have the -iam, -ies, -iet (etc.) endings in the future.