I've been working in big tech corporate for 20 years, just for context. Never had someone like this until now.

Recently started a new job 1 month ago, my boss is at the same level as me. He's a bit cryptic to understand. Doesn't give any details or any information without asking and sometimes I don't know to ask as the area, team, and people are new to me. It's like he wants to test me every step of the way. I don't want to throw the word "toxic" because it's such an overused word but it does feel a lot like it. He is quick to criticize, and point out the (trivial) mistakes and doesn't feel like he's going to have my back. It is hard to meet expectations if I don't know what they are. He openly compares me to people who are very junior but apparently better than me (they have been in this team and in this role a whole lot longer than I have.) If I do something well he doesn’t recognize or give me credit for it, low key pretends he has done jt. He does not like to be corrected. I have this nagging feeling that he doesn't want me to succeed in my role. I would love to be wrong though.

I have been only in this role for a month so I can't move to another internal role and I'm seriously thinking of finding something else in another company. However, I don't want to rush into looking for a job especially in this market. At best he's just trying to help in his own weird and abrasive way but at worst it can be rough week every week. How do I navigate this relationship?