Docker Hub Login for AWS CodeBuild (Docker Hub Limit)?

This is my Current Setup:

1. Gets repository from Bitbucket
2. Builds the docker image using the Amazon Linux 2 AWS managed image
3. Push the image to ECR

I am now sometimes getting the "toomanyrequests" error during the docker build phase. So, now I want to log in to my docker hub account and get rid of this issue.

How do I go about logging into docker hub account only for the build phase? Should I use the buildspec.yml for logging in? But that would conflict with the AWS ECR login, right?