RSA Verify signature (Or compare HEX hashes) SHA512. pycryptodom?

Question

Python

The service has a private key, I have a public key.
The service wrote: “Encrypt the data using RSA SHA512, compare it with the given HEX hash. If the encrypted data matches the specified data, the operation will complete successfully."

I think it's signature verification but I'm not sure, please explain to me.
My public key:

-----BEGIN RSA PUBLIC KEY-----
MIIBIjANBgkqhkiG9w0BAQEFAAOCAQ8AMIIBCgKCAQEAzsyBqCUMdYwNdRTMPYxV
4/DbvtUVv8U7BC3PdvXbZFLwC9CMCEfwzMisDppRJVUhoPs+o4rO1SIOTGKbYZl0
CDvz6sxjO40NcoX57qA4WdPVYp6gxrLwRgs7Od2nzTtwq6gjagYhysZZJdybShzz
am3K2KEjedi4YrJDCVJlSJB5yAKM242jK8sCPboNy3EASVUavLBQE9pnisZPYyuf
ThiAZY9mXKmK60FthFg9R8vVb2Ug/iKKHdbp/cNiFnIm5PMDUMV0XF2YHtr9Ft8t
D8Ub0c5oZbKmKsXvE/zjb06K153utY4KOE+BIJx0xc8qxhudYdcQhEusxaKu9+Zn
FwIDAQAB
-----END RSA PUBLIC KEY-----

I wrote this code

from Crypto.Signature import PKCS1_v1_5
from Crypto.PublicKey import RSA
from Crypto.Hash import SHA512


data = b'mdOrder;2930808c-6fa8-71f5-b6ff-54085e4149db;operation;deposited;orderNumber;#19, , kalik;sign_alias;stoloto;status;1;'  # Data to encrypt
given_hash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he service hash (given in uppercase)

pubkey = RSA.import_key(PUBLIC_KEY)
signer = PKCS1_v1_5.new(pubkey)
hash_ctx = SHA512.new()
hash_ctx.update(data)
signature = signer.sign(hash_ctx)

signer.verify(hash_ctx, signature)

But this code does not use given_hash, and hash_ctxis not even a Hash object, signatureis wrong.
So I just don't understand how to solve this...
Since this is a specific case, I think I need to encrypt the given in SHA512, format it in uppercase, and then compare.

Should I just encrypt my message ( data) with the public key and compare it to the given hash just with ==?
If this is correct, please help me write the code