Initially, I would inquire with the engineer about the specific rationale behind the proposed change. It's crucial to grasp their perspective on the shortcomings of the current algorithm and the objectives they aim to achieve with the new one. Next, we would thoroughly examine the suggested new algorithm. If the reasoning appears valid, I would recommend conducting a series of tests using non-live data to assess its performance, including testing edge cases. I would also want to consult with other stakeholders or teams that could be affected by a change in the ranking. After the evaluation, if the results are favorable, we would develop an implementation plan that involves deploying the new algorithm in a sandbox or staging environment to prevent any impact on users. Finally, once we are confident in the new algorithm, we would proceed with its rollout. We would closely monitor the situation in the following weeks for any unforeseen changes or issues, ensuring we have a rollback strategy in place should things not proceed as anticipated.