Do you ever think about how when Ron’s wand broke 2nd year, just using spell-o-tape wasn’t enough to fix it. It kept backfiring in ways that were really bad, like making himself eat slugs, or kinda just. being defective in general.
Hagrid’s wand was snapped his 3rd year. But he still uses it, disguised as an umbrella. And it works.
Like we know Ollivander didn’t fix it, since he was surprised to hear Hagrid had the pieces. Not to mention since Hagrid was expelled, it would be extremely illegal to fix it. Hogwarts works as a groundskeeper, and lives in a one room wooden hut that he made himself. He’s not going to have the money to ribe someone to fix it, and then there’s also the fact that because of his heritage, even if he could bribe someone to fix it, they probably wouldn’t. And sure, Dumbledore probably knows that Hagrid fixed his wand, there’s a certain level of deniability there. He wouldn’t have actually gotten involved with the wand mending process. Especially when Hagrid was just accused of killing a student.
So that means Hagrid would have put his wand back together himself.
The 3rd year transfiguration examination was to turn a teapot into a tortoise. Only inanimate objects into animals. Part of the reason animagi are so rare is because they’re human to animal transformations. The first time we meet Hagrid, he gives Dudley a tail, and correctly animates the boat he and Harry are on. Silently.
Harry and co. didn’t even attempt to learn silent casting until 6th year. Anything Hagrid learned after 3rd year would have been self taught.
Hagrid is one powerful wizard and holy shit combined with his resistance to magic with his giant heritage forget McGonagall holy shit Hagrid is terrifying