Glad that you figured out the way to resolve your issue and thank you for posting your solution so that others experiencing the same thing can easily reference this! Since the Microsoft Q&A community has a policy that "The question author cannot accept their own answer. They can only accept answers by others ", I'll repost your solution in case you'd like to "Accept " the answer.
The issue was solved by setting up an self hosted integration runtime. Created a linked service with google ads connector with all the required credentials. The private key need need to be PKCS#8 and should not contains space between the headers.
For the private key , follow the below command:
-----BEGIN PRIVATE KEY-----Masdfasdfasdfadsfadfadsfadsfasdf....kajdfakasdfa-----END PRIVATE KEY---
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