There is an entry in the forge:tools/axes tag file that does not exists, thus throwing an error an deleting the entire item tag.

[03Sep2022 10:20:13.939] [Worker-Main-8/ERROR] [net.minecraft.tags.TagLoader/]: Couldn't load tag forge:tools/axes as it is missing following references: minecraft:fiery_axe (from TwilightDelight-1.18.2-1.2.0-Alpha.jar), 
	minecraft:ironwood_axe (from TwilightDelight-1.18.2-1.2.0-Alpha.jar), 
	minecraft:knightmetal_axe (from TwilightDelight-1.18.2-1.2.0-Alpha.jar), 
	minecraft:steeleaf_axe (from TwilightDelight-1.18.2-1.2.0-Alpha.jar)

Not sure why it's happening, I looked in the code and the content of the tag file there mentions twtilightforest:ironwood_axe, but the tag file in the released mod jar has minecraft:ironwood_axe

I still get an error with the beta:

Couldn't load tag forge:tools/axes as it is missing following references: twilightforest:fiery_axe

There is no fiery axe, but you have included it in your tag.
Same for the fiery shovel

I found the beta in the github releases, but is there a reason it is not uploaded to curseforge?

Yes, we have found the problem before and fixed it in 1.2.0-Beta. Perhaps you can update the mod.

Couldn't load tag forge:tools/axes as it is missing following references: minecraft:fiery_axe (from TwilightDelight-1.18.2-1.1.4.jar),
minecraft:ironwood_axe (from TwilightDelight-1.18.2-1.1.4.jar),
minecraft:knightmetal_axe (from TwilightDelight-1.18.2-1.1.4.jar),
minecraft:steeleaf_axe (from TwilightDelight-1.18.2-1.1.4.jar)