Can I beat Final Fantasy IV Pixel Remaster with only Cecil?

Final Fantasy IV is easy, and the Pixel Remaster changes nothing about this. Let's make it unnecessarily difficult instead.

Rules:
- No items (except equipment)
- Cecil only
- Final destination

Bosses:

00:00 Introduction
01:17 Mist Dragon
01:58 Octomammoth
02:28 Antlion
02:50 Mom Bomb
04:19 Scarmiglione
05:31 Baron Guard + Yang
06:00 Baigan
06:19 Cagnazzo
06:54 Dark Elf
07:20 Magus Sisters
07:50 Barbariccia
08:23 Calcabrina
08:40 Golbez
08:49 Dr. Lugae
09:09 Edge's parents
09:16 Rubicante
09:27 Asura
10:01 Leviathan
10:21 Demon Wall
10:31 Bahamut (1st attempt)
10:51 Elemental Archfiends Boss Rush
11:33 CPU
12:15 Bahamut (2nd attempt)
12:20 Plague
12:30 Lunasaur (1st attempt)
12:40 Dank Bahamut
12:56 Lunasaur (2nd attempt)
13:09 Dank Leviathan
13:50 Dank Zemus

Sealed Cavern raw footage (to clarify questions people made in the comments about defeating the Trap Door enemies and Demon Door enemies fast enough)

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